Factor X^3-7x^2-5x+35 by grouping. What is the resulting expression

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

Step-by-step explanation:

x^3-7x^2-5x+35

Factor out an x^2 from the first two terms and - 5 from the last 2 terms

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

Factor out (x-7)

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

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

Step-by-step explanation:

Factor the following:

x^3 - 7 x^2 - 5 x + 35

Factor terms by grouping. x^3 - 7 x^2 - 5 x + 35 = (x^3 - 7 x^2) + (35 - 5 x) = x^2 (x - 7) - 5 (x - 7):

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

Factor x - 7 from x^2 (x - 7) - 5 (x - 7):

Answer: (x - 7) (x^2 - 5)