Algbrea 2 Math NEED ANSWER QUICKLY PLEASE

Question

completely factor the polynomial 7x^3+35x^2+7x+35

Answer 1

Arthur D's answer is perfectly fine.

 

You can do it another way if you factor by grouping...

 

 

(7x^3+35x^2)    +  (7x + 35)

 

7x^2(x+5) + 7(x+5)

 

 

(7x^2 + 7)(x+5)

 

Factor out a 7 from the first one:

 

7(x^2 + 1)(x + 5), which, since multiplication is commutative, is equivalent to:

 

7(x + 5) ( x^2 + 1)

Answer 2

7x^3+35x^2+7x+35

7(x^3+5x^2+x+5)

 

using synthetic division try -5

 

     1    5    1    5

-5       -5    0   -5

 

 

     1     0    1    0

 answer: 7(x+5)(x^2+1)