teresa is factoring this polynomial by grouping. which common factors should be used in the next step of…

teresa is factoring this polynomial by grouping. which common factors should be used in the next step of factoring? 10x³+3x² - 20x - 6 (10x³+3x²)+(-20x - 6) o x² and -2x o 2x² and -2x o x² and -2 o 2x² and -2

teresa is factoring this polynomial by grouping. which common factors should be used in the next step of factoring? 10x³+3x² - 20x - 6 (10x³+3x²)+(-20x - 6) o x² and -2x o 2x² and -2x o x² and -2 o 2x² and -2

Answer

Answer:

C. $x^{2}$ and $- 2$

Explanation:

Step1: Factor first - grouped terms

For the group $(10x^{3}+3x^{2})$, the greatest - common factor is $x^{2}$. We can factor it as $x^{2}(10x + 3)$.

Step2: Factor second - grouped terms

For the group $(-20x - 6)$, the greatest - common factor is $-2$. We can factor it as $-2(10x+3)$. So the common factors for the next step of factoring are $x^{2}$ and $-2$.