Chapter 6: Q 170. (page 603)

In the following exercises, factor completely using the perfect square trinomials pattern.
$64 m^{2} - 34 m + 1$

Short Answer

Expert verified

The factor of the trinomial is $(32 m - 1) (2 m - 1)$ .

Step by step solution

Step 1. Given information.

Consider the given trinomial.

$64 m^{2} - 34 m + 1$

Step 2. Find the product ac.

Compare the given trinomial with $a x^{2} + b x + c$

$a = 64, b = - 34, c = 1$

The product $a c$ is,

$64 \cdot 1 = 64$

Step 3. Split the middle term.

The two numbers whose product is $64$ and add up to $- 34$ are $- 32$ and $- 2$ .

Split the middle term of the trinomial.

$64 m^{2} - 32 m - 2 m + 1$

Step 4. Find the factor.

Factor the trinomial by grouping.

$(64 m^{2} - 32 m) - (2 m - 1) 32 m (2 m - 1) - 1 (2 m - 1) (32 m - 1) (2 m - 1)$

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In the following exercises, factor completely using the perfect square trinomials pattern.
$64 m^{2} - 34 m + 1$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the product ac.

Step 3. Split the middle term.

Step 4. Find the factor.

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In the following exercises, factor completely using the perfect square trinomials pattern.64m2-34m+1

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the product ac.

Step 3. Split the middle term.

Step 4. Find the factor.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Theoretical and Mathematical Physics

Calculus

Pure Maths

Probability and Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, factor completely using the perfect square trinomials pattern.
$64 m^{2} - 34 m + 1$