1. Factor completely. a. 64t² – 49r2 b. т? — 6т —16 с. x² + x – 20 - - -

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.13: Using Factoring To Solve Problems
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1. Factor completely.
a. 64t² – 49r2
b. т? — 6т —16
с.
x² + x – 20
-
-
-
Transcribed Image Text:1. Factor completely. a. 64t² – 49r2 b. т? — 6т —16 с. x² + x – 20 - - -
Expert Solution
Step 1

Factorization:- Factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

Step 2

a)

64t2-49r2=0(8t)2-(7r)2=0 (8t-7r)(8t+7r)=064t2+56tr-56tr-49r2=064t2-49r2=0As, 64t2=49r2,  is the commutative property of multiplication.

b)

m2-6m-16

Factorize as,

m2-6m-16=m2-8m+2m-16=mm-8+2m-8=m+2m-8

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