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

Answer:

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

Step-by-step 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

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