Question

Factor each polynomial Completely

Answer 1

\[9x^2+30x+25\]

Answer 2

that looks to me like a perfect

Answer 3

square

Answer 4

a^2+2ab+b^2

Answer 5

What would your a be in this case?

Answer 6

\[(\space\space\space)^2=(a)^2\]

Answer 7

What's gonna go inside the parenthesis?

Answer 8

9?

Answer 9

no, what value squared will give you \[9x^2\]

Answer 10

@Jhannybean can you do this one like you did the last one or not?

Answer 11

@bahrom7893

3?

Answer 12

no
(3x)^2

Answer 13

lets see.

Answer 14

\[\large 9x^2 +30x+25\] this function takes on the form \(\large (a^2 +b^2)= (a+b)(a+b)\)
So lets begin by splitting up our function

we have 9x^2 and 25. these are our \(a^2\) and \(b^2\) .\[\large a = \sqrt{9x^2} = 3x\]and \[\large b = \sqrt{25} = 5\] so what we do is write it out in the form \(\large (a+b)(a+b)\)\[\large (3x+5)(3x+5) = (3x+5)^2 =9x^2+30x+25\]

Answer 15

Sorry. i was wrong in the fact that \[\large (a+b)^2= (a+b)(a+b)=a^2+2ab+b^2 \]