5x^2+25x-70

Question

find the GCF of the expression, then i am supposed to factor the expression

 

Answer 1

The numbers 5, 25, and 70 are all divisible by 5.

 

Therefore, you can factor out a 5:

 

5x² + 25x - 70

5(x² + 5x - 14)

 

To factor the quadratic equation, the first step is to find the factors of -14:

-14 and 1

-7 and 2

7 and -2

14 and -1

 

We know that the sum of the factors must equal 5, so the factors must be 7 and -2.

 

Therefore the equation becomes:

5(x + 7)(x - 2)

Answer 2

5x² + 25x - 70 = 5(x² + 5x - 14) = 5(x - 2)(x + 7)