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Expert-verified Found in: Page 520 ### Algebra 1

Book edition Student Edition
Author(s) Carter, Cuevas, Day, Holiday, Luchin
Pages 801 pages
ISBN 9780078884801 # Factor the polynomial $mn+\mathbf{5}m-\mathbf{3}n-\mathbf{15}$.A $\left(mn-\mathbf{3}\right)\left(5\right)$B $\left(n-\mathbf{3}\right)\left(m+\mathbf{5}\right)$C $\left(m-\mathbf{5}\right)\left(n+\mathbf{3}\right)$D $\left(m-\mathbf{3}\right)\left(n+\mathbf{5}\right)$

The factors of given polynomial are $\left(m-\mathbf{3}\right)\left(n+\mathbf{5}\right)$.

See the step by step solution

## Step 1. Group terms with common factors.

Group terms with common factors from the given polynomial.

$\left(mn+5m\right)+\left(-3n-15\right)$

Therefore, the factors of $4{x}^{2}+8x+x+2$ are $\left(4x+1\right)\left(x+2\right)$.

## Step 2. Factor out GCF.

Factor out GCF from each grouping.

$m\left(n+5\right)-3\left(n+5\right)=\left(m-3\right)\left(n+5\right)$

## Step 3. Write the conclusion.

The obtained solution completely matches with option D. Therefore, option D is the required answer. ### Want to see more solutions like these? 