Question

introduction homework (standard 0)
score: 10/28 answered: 9/25
question 10
factor ( 3w^2 - 11w - 20 ). if the expression is unfactorable, then enter \prime\.
question help: message instructor post to forum

Explanation:

Step1: Find two numbers that multiply to \(3\times(-20) = -60\) and add up to \(-11\).

The numbers are \(-15\) and \(4\) since \(-15\times4=-60\) and \(-15 + 4=-11\).

Step2: Rewrite the middle term using these two numbers.

\(3w^{2}-15w + 4w-20\)

Step3: Group the terms and factor out the greatest common factor (GCF) from each group.

\((3w^{2}-15w)+(4w - 20)=3w(w - 5)+4(w - 5)\)

Step4: Factor out the common binomial factor \((w - 5)\).

\((3w + 4)(w - 5)\)

Answer:

\((3w + 4)(w - 5)\)