A community for students.
Here's the question you clicked on:
 0 viewing
some.random.cool.kid
 one year ago
can someone help me with quadratics please? you can make your own examples and guide me to the the answer.
some.random.cool.kid
 one year ago
can someone help me with quadratics please? you can make your own examples and guide me to the the answer.

This Question is Closed

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0ok well I'm working on quadratics functions and i need help solving them. I don't have any specific examples I just want to practice them.

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0y = 16x^2 + 96x for instance this one : above

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0kimberly tracks free fall of object she models a graph I don't have the graph but...

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0if this doesn't help I can try and find some other one ...

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0i have a perfect one ππ β 8ππ β 20.

phi
 one year ago
Best ResponseYou've already chosen the best response.1some background: a quadratic is the name for a "second order polynomial", which means the highest exponent is 2 the simplest quadratic is y= x^2 the most general form is \[ a x^2 + b x +c \] where a, b, and c are numbers. If you graph a quadratic, you get a parabola A parabola looks like a U or a \( \cap\)

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0yeah negative and positive ...

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0those were whats on the graph ...

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0what about factoring quad's though?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0lets say I want to use this .. Factor π¦π¦ + 11π¦π¦ + 24.

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0thats one y each not two

phi
 one year ago
Best ResponseYou've already chosen the best response.1to factor quadratics, and see how to do it, it is better to start backwards say you have (x+a)(x+b) can you multiply that out ?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0/uh well I can multiply x and x by distributing right?

phi
 one year ago
Best ResponseYou've already chosen the best response.1use the distributive property to see it more clearly, temporarily rename (x+b) as B (x+a)*(x+b) becomes (x+a)*B now distribute the B what do you get ?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0uh well i see that you can do x^a'b?

phi
 one year ago
Best ResponseYou've already chosen the best response.1B*(x+a) now multiply B times each term inside the parens (this is called "distributing")

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0yes but I'm not sure whether its x^b + a^b or ...

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0theres no variable for B so idk what I'm multiplying.

phi
 one year ago
Best ResponseYou've already chosen the best response.1the ^ means exponents. it is neither try it with numbers 2*( 3+5) multiply 2 times each number inside the parens

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0see now that theres variables it looks more reasonable that what i was understanding ... this is 6 + 10 = 16 after you've distributed.

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes, and of course it is the same as 2* (3+5) = 2* 8= 16 so 16 both ways. if you have letters, multiplying is easy... for example x times y is written xy just like 2 times 3 is 2*3 (getting 6 is the next step, "simplifying" ) or 2 times x is written 2x

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0well I write that earlier I thought you disagreed with it...

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0so this is bx + ab?

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes. But I used B, because B is short for (x+a) and bx= xb (order does not matter when multiplyiing: 2*3= 3*2)

phi
 one year ago
Best ResponseYou've already chosen the best response.1so B*(x+a)= Bx + Ba and if we replace B with (x+b) (x+b)(x+a)= (x+b)x +(x+b)a or (x+b)(x+a)= x(x+b) +a(x+b)

phi
 one year ago
Best ResponseYou've already chosen the best response.1*B is short for (x+b) (not x+a )

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0/so much wisdom its making my brain fall out xD. thanks tough ... so what if you have me those letters mixed with integers also what do i do then?

phi
 one year ago
Best ResponseYou've already chosen the best response.1Unfortunately, you have to know this stuff before tackling quadratics. you may not get it in one session, but you will get closer. meanwhile (x+b)(x+a)= x(x+b) +a(x+b) now distribute x in the first x(x+b) and distribute the a in the second can you do that ?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0I can certainly try.

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0uh so i think its x^2 + b and ax + b?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0or am i missing something?

phi
 one year ago
Best ResponseYou've already chosen the best response.1if the problem was 2(2+3) you did 2*2 + 3

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0yeah? thats 4 + 3? but Im not sure what I missed in the first one?

phi
 one year ago
Best ResponseYou've already chosen the best response.12(2+3) is 10 2*5=10 or distributing: 2*2 + 2*3 = 4+6 = 10

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0oh distribute both...

phi
 one year ago
Best ResponseYou've already chosen the best response.1if we had x(x+b) we multiply x times *each* term inside the parens

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0so X^2 and xb?

phi
 one year ago
Best ResponseYou've already chosen the best response.1(x+b)(x+a)= x(x+b) +a(x+b) (x+b)(x+a)= x^2 +bx + ax + ab

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0so what about both numbers and letters can you perhaps explain those?

phi
 one year ago
Best ResponseYou've already chosen the best response.1if we "factor out" an x from the 2 middle terms (the opposite of distribute) we get (x+b)(x+a)= x^2 +(b+a)x + ab

phi
 one year ago
Best ResponseYou've already chosen the best response.1now we can do factoring of a quadratic say we have x^2 +7x +12 and we are trying to find a and b so (x+a)(x+b)= x^2 +7x +12

phi
 one year ago
Best ResponseYou've already chosen the best response.1using the letters x^2 +(b+a)x + ab notice that (a+b) matches the 7 and a*b matches the 12 in x^2 +7x +12

phi
 one year ago
Best ResponseYou've already chosen the best response.1the first thing I do is list all pairs of numbers that when multiplied give us 12 1,12 2,6 3,4

phi
 one year ago
Best ResponseYou've already chosen the best response.1then I add each pair 1+12= 13 2+6= 8 3+4= 7 if I find a pair that add up to the middle number (7 in this case) then we hit the jackpot the factors are (x+3)(x+4) and if we multiply that out we will get x^2 +7x+12

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0alright... that was a bit of a long shot does it normally take that much steps?

phi
 one year ago
Best ResponseYou've already chosen the best response.1it is like anything you learn. You probably forgot how hard it was to learn to read. But in school, if you work at this every day, (and not try to learn it all in 1 day as you seem to be trying to do now) , it can be done.

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0well uh ... I assume its 4^2x? for the first part

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0then add the 4?

phi
 one year ago
Best ResponseYou've already chosen the best response.1factoring x^2+4x+4 means find a and b so that (x+a)(x+b)= x^2+4x+4

phi
 one year ago
Best ResponseYou've already chosen the best response.1the first step is look at the last number: +4 find all pairs of numbers that multiply to give you 4 1,4 2,2 add each pair 1+4=5 2+2= 4 choose the pair that add up to the middle number (the 4 from 4x) 2,2 are the numbers for a and b thus (x+2)(x+2)= x^2 + 4x + 4

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0wait idk how to factor this my teacher has asked me this before and i failed

phi
 one year ago
Best ResponseYou've already chosen the best response.1x^2 +4x + 3 what is the first step? (look what I posted up above)

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0except she did it with a minus

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0i really don't know please walk me through ...

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0all i know is that I factor it ..

phi
 one year ago
Best ResponseYou've already chosen the best response.1the first step is look at the last number:

phi
 one year ago
Best ResponseYou've already chosen the best response.1find all pairs of numbers that multiply to give you 3

phi
 one year ago
Best ResponseYou've already chosen the best response.1now add them. if they add to the "middle number" 4, you found the correct pair

phi
 one year ago
Best ResponseYou've already chosen the best response.13+1= 4 (which matches the 4 in x^2 + 4x +3) so 3 , 1 are the numbers we want the factors are (x+3)(x+1)

phi
 one year ago
Best ResponseYou've already chosen the best response.1try y^2 + 11y + 24 which you posted at the start

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0do I start with 24

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0in that case 12 and 2 can work..

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0or 24 ad 1

phi
 one year ago
Best ResponseYou've already chosen the best response.1I always start with 1, 2, 3, etc up to the square root of 21 (less than 5)

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0so i pick 12 and 2

phi
 one year ago
Best ResponseYou've already chosen the best response.1do any of the pairs add up to the middle number in y^2 +11y + 24

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0so is it done already

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0/thats been simplified?

phi
 one year ago
Best ResponseYou've already chosen the best response.1not yet. recheck each pair

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0ok im lost Im not sure I see that that pairs except 12 and 2 equally the 24

phi
 one year ago
Best ResponseYou've already chosen the best response.1add each pair 1,24 2,12 3,8 4,6

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0ill be back in two hours

phi
 one year ago
Best ResponseYou've already chosen the best response.11+24= 25 2+12= 14 3+8= 11 4+6= 10
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
β View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 β You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.