Chapter 8: Q3. (page 520)

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

Short Answer

Expert verified

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

Step by step solution

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

Short Answer

Step by step solution

Step 1. Group terms with common factors.

Step 2. Factor out GCF.

Step 3. Write the conclusion.

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Factor the polynomial mn+5m−3n−15.Amn−35Bn−3m+5Cm−5n+3Dm−3n+5

Short Answer

Step by step solution

Step 1. Group terms with common factors.

Step 2. Factor out GCF.

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Discrete Mathematics

Pure Maths

Probability and Statistics

Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

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