Chapter 7: Q 134. (page 833)

Look at Example 7.19, where we factored $y^{2} + 17 y + 60$ . We made a table listing all pairs of factors of $60$ and their sums. Do you find this kind of table helpful? Why or why not?

Short Answer

Expert verified

This table helps us to find the factors of the binomials easily.

Step by step solution

Step 1. Given information

Given expression is $y^{2} + 17 y + 60$ .

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 $60$ and add to $17$ .

Factors of 60	Sum of factors
1, 60	1 + 60 = 61
2, 30	2 + 30 = 32
3, 20	3 + 20 = 23
4, 15	15 + 4 = 19
12, 5	12 + 5 = 17*
6, 10	6 + 10 = 16

This table helps us to find the factors of the binomials easily as you have seen above how easily we found the factors of $60$ and its sum of factors.

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Look at Example 7.19, where we factored $y^{2} + 17 y + 60$ . We made a table listing all pairs of factors of $60$ and their sums. Do you find this kind of table helpful? Why or why not?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the last terms of the binomials

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Look at Example 7.19, where we factored y2+17y+60. We made a table listing all pairs of factors of 60and their sums. Do you find this kind of table helpful? Why or why not?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the last terms of the binomials

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Mechanics Maths

Decision Maths

Probability and Statistics

Logic and Functions

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Look at Example 7.19, where we factored $y^{2} + 17 y + 60$ . We made a table listing all pairs of factors of $60$ and their sums. Do you find this kind of table helpful? Why or why not?