factor $15x^{3}-5x^{2}+6x - 2$ by grouping. what is the resulting expression?\n$(5x^{2}+2)(3x…

factor $15x^{3}-5x^{2}+6x - 2$ by grouping. what is the resulting expression?\n$(5x^{2}+2)(3x - 1)$\n$(5x^{2}-2)(3x + 1)$\n$(15x^{2}+2)(x - 1)$\n$(15x^{2}-2)(x + 1)$

factor $15x^{3}-5x^{2}+6x - 2$ by grouping. what is the resulting expression?\n$(5x^{2}+2)(3x - 1)$\n$(5x^{2}-2)(3x + 1)$\n$(15x^{2}+2)(x - 1)$\n$(15x^{2}-2)(x + 1)$

Answer

Explanation:

Step1: Group the terms

$(15x^{3}-5x^{2})+(6x - 2)$

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

$5x^{2}(3x - 1)+2(3x - 1)$

Step3: Factor out the common binomial factor

$(3x - 1)(5x^{2}+2)$

Answer:

A. $(5x^{2}+2)(3x - 1)$