type the correct answer in the box. what is the completely factored form of this polynomial? 18x³ - 120x²…

type the correct answer in the box. what is the completely factored form of this polynomial? 18x³ - 120x² - 42x write the greatest common factor (gcf) first, and write all factors in standard form.

type the correct answer in the box. what is the completely factored form of this polynomial? 18x³ - 120x² - 42x write the greatest common factor (gcf) first, and write all factors in standard form.

Answer

Answer:

$6x(3x^{2}-20x - 7)$

Explanation:

Step1: Find the GCF of coefficients

The coefficients are 18, -120, -42. The GCF of 18, 120, 42 is 6.

Step2: Find the GCF of variable - part

The variable - part is $x^{3},x^{2},x$. The GCF of $x^{3},x^{2},x$ is $x$. So the overall GCF is $6x$.

Step3: Factor out the GCF

$18x^{3}-120x^{2}-42x=6x(3x^{2}-20x - 7)$