3x²-27 Eric was asked to evaluate ²+7+12 x²-4x+3 ÷ when x 0, x = -5, and x = 2. To avoid having to evaluate four quadratic polynomials multiple times, Eric decided to simplify the expression before evaluating it for the first value of x. His work is shown below in blue. 3x-27 X-4213 3x²-27 = х+7х на x²+7x112 x²-4x+3 3(x²-4) (x+4x(x+1) (x+4)(x+3) (-1)(x+4) =3(x+3)(x-3)(x+4)(x+1) (x+4)(x+3)(x-x+4) =3(x-3)(x+1) (x+4)(x-1) Now substitute O for x in the simplified expression 3(x-3)XXN) (x+4)(x-1) 360-50+1) 3(-3x1)- - (0++)(0-1) Question 8 (2 points) Listen ་ 4(-D a. Evaluate the original expression for x = 0. Be sure to show all of your steps. Paragraph B I U~ A Lato Recom 19p... T Add a Fe Record Video 4 هی 20

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
Question
3x²-27
Eric was asked to evaluate ²+7+12
x²-4x+3
÷
when x 0, x = -5, and x
= 2. To avoid having to evaluate four quadratic polynomials multiple times, Eric
decided to simplify the expression before evaluating it for the first value of x. His
work is shown below in blue.
3x-27
X-4213
3x²-27
=
х+7х на
x²+7x112
x²-4x+3
3(x²-4)
(x+4x(x+1)
(x+4)(x+3) (-1)(x+4)
=3(x+3)(x-3)(x+4)(x+1)
(x+4)(x+3)(x-x+4)
=3(x-3)(x+1)
(x+4)(x-1)
Now substitute O for x in the simplified
expression 3(x-3)XXN)
(x+4)(x-1)
360-50+1) 3(-3x1)- -
(0++)(0-1)
Question 8 (2 points)
Listen
་
4(-D
a. Evaluate the original expression for x = 0. Be sure to show all of your steps.
Paragraph
B
I U~
A
Lato Recom
19p...
T
Add a Fe
Record Video
4
هی
20
Transcribed Image Text:3x²-27 Eric was asked to evaluate ²+7+12 x²-4x+3 ÷ when x 0, x = -5, and x = 2. To avoid having to evaluate four quadratic polynomials multiple times, Eric decided to simplify the expression before evaluating it for the first value of x. His work is shown below in blue. 3x-27 X-4213 3x²-27 = х+7х на x²+7x112 x²-4x+3 3(x²-4) (x+4x(x+1) (x+4)(x+3) (-1)(x+4) =3(x+3)(x-3)(x+4)(x+1) (x+4)(x+3)(x-x+4) =3(x-3)(x+1) (x+4)(x-1) Now substitute O for x in the simplified expression 3(x-3)XXN) (x+4)(x-1) 360-50+1) 3(-3x1)- - (0++)(0-1) Question 8 (2 points) Listen ་ 4(-D a. Evaluate the original expression for x = 0. Be sure to show all of your steps. Paragraph B I U~ A Lato Recom 19p... T Add a Fe Record Video 4 هی 20
AI-Generated Solution
AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.
steps

Unlock instant AI solutions

Tap the button
to generate a solution

Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning