Question

Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?

Answer 1

(x-7) (x2-5) giving you the answer of x3-7x2-5x+35

Answer 2

`(x-7)(x^2-5)`

Explanation:

Factor
`x^3 - 7x^2 - 5x + 35` by grouping

We group first two terms and last two terms

`(x^3 - 7x^2)+(-5x + 35)`

Factor out GCF from each group

GCF of first group is x^2 and GCf of second group is -5

`x^2(x-7)-5(x-7)`

Now we factor out x-7

`(x-7)(x^2-5)`