Chapter 10: Q 10.33 (page 1171)

Complete the square to make a perfect square trinomial. Write the result as a binomial square.
$p^{2} + \frac{1}{4} p$

Short Answer

Expert verified

The result is ${(p + \frac{1}{8})}^{2}$ .

Step by step solution

Given Information.

The Given expression is $p^{2} + \frac{1}{4} p$ .

Identify b the coefficient of term having power one.

$p^{2} + \frac{1}{4} p$

The coefficient of $p$ is $\frac{1}{4}$ .

So, $b = \frac{1}{4}$ .

Find 12b2.

Substitute $b = \frac{1}{4}$ .

$= {(\frac{1}{2} \times \frac{1}{4})}^{2} = {(\frac{1}{8})}^{2} = \frac{1}{64}$

Add 164 to binomial expression to complete the square.

$p^{2} + \frac{1}{4} p + \frac{1}{64}$

Rewrite as a binomial square.

${(p + \frac{1}{8})}^{2}$

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Complete the square to make a perfect square trinomial. Write the result as a binomial square.
$p^{2} + \frac{1}{4} p$

Short Answer

Step by step solution

Given Information.

Identify b the coefficient of term having power one.

Find 12b2.

Add 164 to binomial expression to complete the square.

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Complete the square to make a perfect square trinomial. Write the result as a binomial square.p2+14p

Short Answer

Step by step solution

Given Information.

Identify b the coefficient of term having power one.

Find 12b2.

Add 164 to binomial expression to complete the square.

One App. One Place for Learning.

Most popular questions from this chapter

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Complete the square to make a perfect square trinomial. Write the result as a binomial square.
$p^{2} + \frac{1}{4} p$