The polynomial – 4p² + 16p – 15 can be factored by grouping. Write an expression in the form ap? + bp + cp + d that represents the first step in factoring by grouping. Worked Example: Here is how someone else did a similar problem. Factor the polynomial 632 – 5j – 6 by grouping. First, find two numbers that add to equal - 5 and multiply to give 6 · – 6 = numbers are – 9 and 4. - 36. These two Use the previous answer to factor the polynomial into the product of two linear 632 – 5j – 6 6j2 – 9j + 4j – 6 factors. 3j(2j – 3) + 2(2j – 3) (3j + 2)(2j – 3)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.7: Factoring Special Products
Problem 34PPS
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Question
The polynomial – 4p“ + 16p – 15 can be
factored by grouping. Write an expression in
the form ap + bp + cp + d that represents
Worked Example: Here is how someone else did
a similar problem.
the first step in factoring by grouping.
Factor the polynomial 6j – 5j – 6 by grouping.
First, find two numbers that add to equal – 5 and
multiply to give 6 · – 6 =
numbers are – 9 and 4.
–36. These two
-
Use the previous answer to factor the
polynomial into the product of two linear
652 – 5j – 6
6j2 – 9j + 4j – 6
factors.
3j(2j – 3) + 2(2j – 3)
(3j+ 2)(2j – 3)
Transcribed Image Text:The polynomial – 4p“ + 16p – 15 can be factored by grouping. Write an expression in the form ap + bp + cp + d that represents Worked Example: Here is how someone else did a similar problem. the first step in factoring by grouping. Factor the polynomial 6j – 5j – 6 by grouping. First, find two numbers that add to equal – 5 and multiply to give 6 · – 6 = numbers are – 9 and 4. –36. These two - Use the previous answer to factor the polynomial into the product of two linear 652 – 5j – 6 6j2 – 9j + 4j – 6 factors. 3j(2j – 3) + 2(2j – 3) (3j+ 2)(2j – 3)
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