factor x^3 - 7x^2 - 5x + 35 by grouping. what is the resulting expression? (x^2 - 7)(x - 5) (x^2 - 7)(x + 5)…

factor x^3 - 7x^2 - 5x + 35 by grouping. what is the resulting expression? (x^2 - 7)(x - 5) (x^2 - 7)(x + 5) (x^2 - 5)(x - 7) (x^2 + 5)(x - 7)

factor x^3 - 7x^2 - 5x + 35 by grouping. what is the resulting expression? (x^2 - 7)(x - 5) (x^2 - 7)(x + 5) (x^2 - 5)(x - 7) (x^2 + 5)(x - 7)

Answer

Explanation:

Step1: Group the terms

$(x^{3}-7x^{2})+(-5x + 35)$

Step2: Factor out the GCF from each group

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

Step3: Factor out the common binomial factor

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

Answer:

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