Instruction: MAT 143: Algebra and Trigonometry ✓Answer Must be Handwritten ✓ Question No: 2 question must to do according to the instruction. ✓ 1(a)(b), 2 and 3(a) (b) do step by step. 1. Use long division to find the quotient Q(x) and Remainder R(x) when f(x) is divided by g(x). (a) f(x)=x²-x²+2x+4, g(x)=x-2 (b) f(x)=-4x³+2x²-x+1, g(x)=x+2 2. Use the Remainder theorem to find the remainder of the two parts in Problem 1. 3. Use the Factor theorem to determine if h(x) is a factor of f(x). If so, factor f(x) completely. (a) f(x) = 4x³-3x²-8x+4, h(x)=x-2 (b) f(x)= 4x2-2x-4, h(x)=x-2

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.8: Other Types Of Inequalities
Problem 86E
icon
Related questions
Question
Instruction:
MAT 143: Algebra and Trigonometry
✓ Answer Must be Handwritten
Question No: 2 question must to do according to the instruction.
✓ 1(a)(b),2 and 3(a) (b) do step by step.
1. Use long division to find the quotient Q(x) and Remainder R(x) when f(x) is divided by g(x).
(a) f(x)=x²-x²+2x+4,
g(x)=x-2
(b) f(x)=-4x³+2x²-x+1, g(x)=x+2
2. Use the Remainder theorem to find the remainder of the two parts in Problem 1.
3. Use the Factor theorem to determine if h(x) is a factor of f(x). If so, factor f(x) completely.
(a) f(x) = 4x³-3x²-8x+4, h(x)=x-2
(b) f(x) = 4x2 - 2x-4, h(x)=x-2
Transcribed Image Text:Instruction: MAT 143: Algebra and Trigonometry ✓ Answer Must be Handwritten Question No: 2 question must to do according to the instruction. ✓ 1(a)(b),2 and 3(a) (b) do step by step. 1. Use long division to find the quotient Q(x) and Remainder R(x) when f(x) is divided by g(x). (a) f(x)=x²-x²+2x+4, g(x)=x-2 (b) f(x)=-4x³+2x²-x+1, g(x)=x+2 2. Use the Remainder theorem to find the remainder of the two parts in Problem 1. 3. Use the Factor theorem to determine if h(x) is a factor of f(x). If so, factor f(x) completely. (a) f(x) = 4x³-3x²-8x+4, h(x)=x-2 (b) f(x) = 4x2 - 2x-4, h(x)=x-2
Expert Solution
steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Similar questions
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning