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

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

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

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:

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