In Exercises 101–-104, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. 101. Because the GCF of 9x³ + 6x² + 3x is 3x,it is not necessary to write the 1 when 3x is factored from the last term. 102. Some polynomials with x³ + x? + 4x – 4, cannot be factored by grouping. 103. The polynomial 28x3 – 7x? + 36x – 9 can be factored by grouping terms as follows: four terms, such as (28x + 36x) + (-7x2 – 9). 104. x? 2 is a factor of 2 – 50x x2 + 25x.

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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In Exercises 101–-104, determine whether each statement is true
or false. If the statement is false, make the necessary change(s) to
produce a true statement.
101. Because the GCF of 9x³ + 6x² + 3x is 3x,it is not necessary
to write the 1 when 3x is factored from the last term.
102. Some polynomials with
x³ + x? + 4x – 4, cannot be factored by grouping.
103. The polynomial 28x3 – 7x? + 36x – 9 can be factored by
grouping terms as follows:
four
terms, such
as
(28x + 36x) + (-7x2 – 9).
104. x?
2 is a factor of 2 – 50x
x2 + 25x.
Transcribed Image Text:In Exercises 101–-104, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. 101. Because the GCF of 9x³ + 6x² + 3x is 3x,it is not necessary to write the 1 when 3x is factored from the last term. 102. Some polynomials with x³ + x? + 4x – 4, cannot be factored by grouping. 103. The polynomial 28x3 – 7x? + 36x – 9 can be factored by grouping terms as follows: four terms, such as (28x + 36x) + (-7x2 – 9). 104. x? 2 is a factor of 2 – 50x x2 + 25x.
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