anonymous
  • anonymous
Which polynomial has 3x + 4 as a factor? 12x^2 – 2x – 20 9x^2 – 3x – 8 12x^2 + 7x – 8 9x^2 + 3x – 12
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@ParthKohli @pooja195
anonymous
  • anonymous
can you tell me what a factor is and how it works?
anonymous
  • anonymous
a number or quantity that when multiplied with another produces a given number or expression.

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anonymous
  • anonymous
Then we need to look at each answer to see if these contain the desired factors. Start with A and see what you can factor out. Is it what we are looking for? If yes, then this is your answer, if no go to the net one and do it again.
anonymous
  • anonymous
20?
anonymous
  • anonymous
Perhaps this isn't factoring out something, but what are the factors of the problem. When you FOIL the factors you would get the problem you now see.
anonymous
  • anonymous
What time what makes twelve, what times what makes twenty, when added them together do they produce the middle term?
anonymous
  • anonymous
2 times 6 makes 12
anonymous
  • anonymous
Good Job, so the first part of what you should be writing down is (2 )(6 )
anonymous
  • anonymous
Since you have an x^2 next to the 12 what do we need to multiply that gives us x^2?
anonymous
  • anonymous
12
anonymous
  • anonymous
does 12 = x^2?
anonymous
  • anonymous
2*6=12 ?*?=x^2
anonymous
  • anonymous
a*a=a^2 b*b=b^2 ?*?=x^2
anonymous
  • anonymous
im not sure
anonymous
  • anonymous
look at the example I just gave. What did I multiply to get a^2?
anonymous
  • anonymous
6
anonymous
  • anonymous
a*a=a^2 what is being multiplied here?
anonymous
  • anonymous
6
anonymous
  • anonymous
There is no 6 in the equation
anonymous
  • anonymous
There are two letters being multiplied together. What are the letters?
anonymous
  • anonymous
a
anonymous
  • anonymous
yes, so if a * a = a^2 what letters do we need to get x^2?
anonymous
  • anonymous
x
anonymous
  • anonymous
Yes, so now show me where the x's go in what you are writing down
anonymous
  • anonymous
are you there?
anonymous
  • anonymous
yeah
anonymous
  • anonymous
where do the x's go (2 )(6 )
anonymous
  • anonymous
Behind the 2 and 6
anonymous
  • anonymous
yes, show me.
anonymous
  • anonymous
(2x) (6x)
anonymous
  • anonymous
ok but leave some space because we need to put more of the problem inside (2x )(6x ) 12x^2 – 2x – 20 so we have the 12x^2 now what factors make up -20?
anonymous
  • anonymous
10 and -2
anonymous
  • anonymous
ok. but let's take a look at what question we are being asked. Do any of the factors have 3x + 4 as a factor?
anonymous
  • anonymous
no
anonymous
  • anonymous
so let's look at 12x^2 again. instead of 2*6 is there anything else when multiplied that equals 12?
anonymous
  • anonymous
1 and 12
anonymous
  • anonymous
yes, 1 and 12 do = 12 but are they the factors we are looking for? are there any factors that we are looking for that =12?
anonymous
  • anonymous
3 and 4
anonymous
  • anonymous
Good job. so show me how you write that down with our x's
anonymous
  • anonymous
im not really sure
anonymous
  • anonymous
Well, we had (2x )(6x ) before, but we found out 2*6 are not part of our factors. Now, using our factors replace 2 and 6 with 3 and 4
anonymous
  • anonymous
(3x) (4x)
anonymous
  • anonymous
ok. Now we are still working on our -20. and 2 and -10 are not part of our factor that we are looking for. 3x + 4 which numbers contain one of our factors when multiplied give us -20?
anonymous
  • anonymous
10
anonymous
  • anonymous
Do you see that we have part of the correct answer (3x )(4x ) 3x + 4 Now we need to use the 4 to get -20. What could we multiply 4 by to give us -20?
anonymous
  • anonymous
-5
anonymous
  • anonymous
ok. So lets put them in (3x+4)(4x-5) now FOIL it out and tell me if it is = 12x^2 – 2x – 20
anonymous
  • anonymous
i think so
anonymous
  • anonymous
show me how you FOILed it out
anonymous
  • anonymous
I mutiplied 3 and 4 and got 12x. Then I multiplied 4 and -5 and got -20
anonymous
  • anonymous
What is FOIL? Isn't there more multiplication to be done?
anonymous
  • anonymous
2x
anonymous
  • anonymous
(3x+4)(4x-5)|dw:1443463356798:dw|

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