Chapter 6: Q 171. (page 603)

In the following exercises, factor completely using the perfect square trinomials pattern.
$10 j k^{2} + 80 j k + 160 j$

Short Answer

Expert verified

The factor of the trinomial is $10 j {(k + 4)}^{2}$ .

Step by step solution

Step 1. Given information.

Consider the given trinomial.

$10 j k^{2} + 80 j k + 160 j$

Step 2. Factor out GCF.

Factor out $10 j$ from the given trinomial.

$10 j (k^{2} + 8 k + 16)$

Step 3. Find the factor of perfect square trinomial.

The middle term of the trinomial is positive so the binomial square will be of the form ${(a + b)}^{2}$ .

$10 j [{(k)}^{2} + 2 \cdot k \cdot 4 + {(4)}^{2}]$

Write factor

$10 j {(k + 4)}^{2}$

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In the following exercises, factor completely using the perfect square trinomials pattern.
$10 j k^{2} + 80 j k + 160 j$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Factor out GCF.

Step 3. Find the factor of perfect square trinomial.

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In the following exercises, factor completely using the perfect square trinomials pattern.10jk2+80jk+160j

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Factor out GCF.

Step 3. Find the factor of perfect square trinomial.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Probability and Statistics

Pure Maths

Calculus

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, factor completely using the perfect square trinomials pattern.
$10 j k^{2} + 80 j k + 160 j$