Q. 446 - Intermediate Algebra

Question

Factor completely:

$5m(m-1)+3(m-1)$.

Step-by-Step Solution

Answer

The factored polynomial is:

$(m-1)(5m+3)$

Step 1. Given the information.

The polynomial is,

$5m(m-1)+3(m-1)$.

Step 2. Factoring the polynomial.

$5m(m-1)+3(m-1)$

Taking the common factors,

$=(5m+3)(m-1)$.

Step 3. Checking the solution.

$(5m+3)(m-1)$

Multiplying the brackets,

$5m(m-1)+3(m-1)$

This is true.