Factor. 8v^3 + 6v^2 - 20v - 15 ______

Identify Common Factors: Look for common factors in pairs of terms. We can group the terms as follows: (8v^3 + 6v^2) and (-20v - 15). Now, factor out the greatest common factor from each group. For the first group, the greatest common factor is 2v^2. For the second group, the greatest common factor is -5.Factor Out Common Factors: Factor out the common factors from each group. 8v^3 + 6v^2 = 2v^2(4v + 3) -20v - 15 = -5(4v + 3) Now we have: 2v^2(4v + 3) - 5(4v + 3)Factor Out Common Binomial: Factor out the common binomial factor. Both groups contain the common binomial factor (4v + 3). Factor out (4v + 3) from the expression. The factored form is: (2v^2 - 5)(4v + 3)

Home

Math Problems

Algebra 1

Factor by grouping

Full solution

Q. Factor.

\newline

8v^3 + 6v^2 - 20v - 15

Identify Common Factors: Look for common factors in pairs of terms. $\newline$ We can group the terms as follows: $8v^3 + 6v^2$ and $-20v - 15$ . $\newline$ Now, factor out the greatest common factor from each group. $\newline$ For the first group, the greatest common factor is $2v^2$ . $\newline$ For the second group, the greatest common factor is $-5$ .
Factor Out Common Factors: Factor out the common factors from each group. $\newline$ $8v^3 + 6v^2 = 2v^2(4v + 3)$ $\newline$ $-20v - 15 = -5(4v + 3)$ $\newline$ Now we have: $2v^2(4v + 3) - 5(4v + 3)$
Factor Out Common Binomial: Factor out the common binomial factor. $\newline$ Both groups contain the common binomial factor $(4v + 3)$ . $\newline$ Factor out $(4v + 3)$ from the expression. $\newline$ The factored form is: $(2v^2 - 5)(4v + 3)$