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Q3.

Expert-verified

Algebra 1

Found in: Page 520

Book edition Student Edition

Author(s) Carter, Cuevas, Day, Holiday, Luchin

Pages 801 pages

ISBN 9780078884801

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Short Answer

Factor the polynomial $m n + 5 m - 3 n - 15$ .
A $(m n - 3) (5)$
B $(n - 3) (m + 5)$
C $(m - 5) (n + 3)$
D $(m - 3) (n + 5)$

The factors of given polynomial are $(m - 3) (n + 5)$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Group terms with common factors.

Group terms with common factors from the given polynomial.

$(m n + 5 m) + (- 3 n - 15)$

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

Step 2. Factor out GCF.

Factor out GCF from each grouping.

$m (n + 5) - 3 (n + 5) = (m - 3) (n + 5)$

Step 3. Write the conclusion.

The obtained solution completely matches with option D. Therefore, option D is the required answer.

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