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mitu12
 one year ago
Factor the following polynomials correctly
q^29q+18
mitu12
 one year ago
Factor the following polynomials correctly q^29q+18

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sweetburger
 one year ago
Best ResponseYou've already chosen the best response.2what 2 values multiply to equal 18 and add to equal 9... alright nm

mitu12
 one year ago
Best ResponseYou've already chosen the best response.0could you explain how to do this

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Your first two automatics are the q's

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so we have (q+?)(q+?)

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0@sweetburger , that's how I do it. You could complete the square.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Next thing you have to do is find what multiplies to =18

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so what are some factors of 18

sweetburger
 one year ago
Best ResponseYou've already chosen the best response.2something interesting to note when the notation is like this ax^2bx+c the final form will look like this (q+?)(q+?). if the form looks like ax^2bxc then the notation will look like this (q+?)(q+?). And finally if it looks like this ax^2+bx+c the notation will look like this (q+?)(q+?).

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0correct and then once you get your factors plug them in for the ?'s and test and see if they work. To test it you simply multiply the sets in the parenthesis by each other.

sweetburger
 one year ago
Best ResponseYou've already chosen the best response.2@TrojanPoem I do actually know how to do these kind of problems so you dont have to tell me...

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0@manutdd30 , Well, now he knows them. But how about this ? i.e: 2x^2  18 x + 40 @mitu12

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0@sweetburger , I was telling you I do it the same. BUt complete the square is for mitu12

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0Work up. your brian.

sweetburger
 one year ago
Best ResponseYou've already chosen the best response.2The question in your example you just apply the quadratic or use the rational root theorem and then use the remainder theorem

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0, , Not for you @sweetburger , it's for @mitu12.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Trying to factor by splitting the middle term 2.1 Factoring q^29q+18 The first term is, q^2 its coefficient is 1 . The middle term is, 9q its coefficient is 9 . The last term, "the constant", is +18 Step1 : Multiply the coefficient of the first term by the constant 1 • 18 = 18 Step2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is 9 . 18 + 1 = 19 9 + 2 = 11 6 + 3 = 9 That's it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0^ What do you think you should do next?

mitu12
 one year ago
Best ResponseYou've already chosen the best response.0the two factors are 6 and 3

mitu12
 one year ago
Best ResponseYou've already chosen the best response.0then i think you plug them into the parenthesis

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0lol no… Please don't give out direct answers :) @TrojanPoem Instead, try engaging the asker so they can learn better and understand where your answer is coming from. As the saying goes… \(\\\color{darkblue}{Give~a~man~a~fish,~he~eats~for~a~day.}\) \(\\\color{pink}{Teach~a~man~to~fish,~he~eats~for~a~lifetime.}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Step3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 6 and 3 q^2  6q  3q  18

sweetburger
 one year ago
Best ResponseYou've already chosen the best response.2Technically there are 3 more factors that should be included which are 18,1 2,9 and 3,6 due to the c value being positive.

sweetburger
 one year ago
Best ResponseYou've already chosen the best response.2I know you were limiting them for clarification but just putting that out there.

sweetburger
 one year ago
Best ResponseYou've already chosen the best response.2Nice job @Aureyliant :).

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@mitu12 What do you believe you should do for step 4? Recall factoring by grouping.

mitu12
 one year ago
Best ResponseYou've already chosen the best response.0yes and you will get q(q6)3(q6)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0q2  6q  3q  18 Step4 : Add up the first 2 terms, pulling out like factors : q • (q6) Add up the last 2 terms, pulling out common factors : 3 • (q6) Step5 : Add up the four terms of step 4 : (q3) • (q6)

mitu12
 one year ago
Best ResponseYou've already chosen the best response.0then you will get (q3)(q6)

mitu12
 one year ago
Best ResponseYou've already chosen the best response.0same method i use just forgot
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