Factor the trinomials completely. Find GCF too. 9j^2+6j-8 and 3x^2-24x+36

Question

PLEASE HELP!!

Answer 1

9j² + 6j - 8

 

 

We factor using FOIL.  The product of the first terms must be 9j².  The product of the last terms must be -8, but the sum of the products of the outer and inner terms must be 6j.

 

(3j - 2)(3j + 4)

 

 

Second Equation

 

3x² - 24x + 36

 

 

The greatest common factor of the terms of the polynomial is 3.

 

 

3(x² - 8x + 12)

 

3(x - 6)(x - 2)

Answer 2

9j^2+6j-8

9*8=3*3*2*2*2=(3*2)*(3*2*2)=6*12 and 12-6=6, the coefficient of the middle term

(3j   )(3j   ) so far...

(3j   2)(3j   4) so far...

(3j-2)(3j+4) is the answer

 

3x^2-24x+36

3(x^2-8x+12)

3(x-6)(x-2) is the answer