Find all other integer values for m that would allow the expression to be factored. Write out thefactorization in each case.Consider the expression (x- 4)2 - (2x+7).a) Explain why the expression is not currently factored.c) Factor your result from part b).b) Simplify the expression.

Answered: Consider the expression (x- 4)² – (2x +…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Find all other integer values for m that would allow the expression to be factored. Write out the
factorization in each case.
Consider the expression (x- 4)2 - (2x+7).
a) Explain why the expression is not currently factored.
c) Factor your result from part b).
b) Simplify the expression.

Expert Solution

Concept

$\to$ Any expression in factorized form is written as ${(x - a)}^{m} {(x - b)}^{n}$ i.e., each term should be in form of multiplication.

$\to {(a - b)}^{2} = a^{2} + b^{2} - 2 a b$

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Consider the expression (x- 4)² – (2x + 7). a) Explain why the expression is not currently factored. b) Simplify the expression. c) Factor your result from part b).