Chapter 7: Q 121. (page 833)

In the following exercises, factor each expression.
$y^{2} + 10 y + 15$

Short Answer

Expert verified

The expression, $y^{2} + 10 y + 15$ is a prime.

Step by step solution

Step 1. Given information

Given expression is $y^{2} + 10 y + 15$ .

Step 2. Find the last terms of the binomials

Write the factors as two binomials with the first terms $y$ .

$(y) (y)$

Find two numbers that multiply to $15$ and add to $10$ .

Factors of 15	Sum of factors
1, 15	1 + 15 = 16
3, 5	3 + 5 = 8

Step 3. Factorization

As shown in the table, none of the factors add to $10$ ; therefore, the expression is prime.

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In the following exercises, factor each expression.
$y^{2} + 10 y + 15$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the last terms of the binomials

Step 3. Factorization

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In the following exercises, factor each expression. y2+10y+15

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the last terms of the binomials

Step 3. Factorization

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Logic and Functions

Discrete Mathematics

Calculus

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, factor each expression.
$y^{2} + 10 y + 15$