factor $x^{3}-4x^{2}+7x - 28$ by grouping. what is the resulting expression?\n$(x^{2}-4)(x +…

factor $x^{3}-4x^{2}+7x - 28$ by grouping. what is the resulting expression?\n$(x^{2}-4)(x + 7)$\n$(x^{2}+4)(x - 7)$\n$(x^{2}-7)(x + 4)$\n$(x^{2}+7)(x - 4)$

factor $x^{3}-4x^{2}+7x - 28$ by grouping. what is the resulting expression?\n$(x^{2}-4)(x + 7)$\n$(x^{2}+4)(x - 7)$\n$(x^{2}-7)(x + 4)$\n$(x^{2}+7)(x - 4)$

Answer

Explanation:

Step1: Group the terms

$(x^{3}-4x^{2})+(7x - 28)$

Step2: Factor out the greatest - common factor from each group

$x^{2}(x - 4)+7(x - 4)$

Step3: Factor out the common binomial factor

$(x^{2}+7)(x - 4)$

Answer:

$(x^{2}+7)(x - 4)$