1. In Unit 1 you have learnt about the remainder theorem and long division. Compare and contrast the usefulness of both. 2. If the result of a polynomial division is 2x3 – 4x2 – 5x + 23 ,make at least three x+2 definitive statements about the dividend and the divisor that is involved. x2 – 4 3. Do you agree with the contention that the functions f(x) = x + 2 and g(x) = x- 2 are the same in every respect. Provide evidence to support your position.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 49E
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1. In Unit 1 you have learnt about the remainder theorem and long division. Compare and
contrast the usefulness of both.
2. If the result of a polynomial division is 2x³
23
- 4x2 – 5x +
x+ 2
make at least three
definitive statements about the dividend and the divisor that is involved.
x2 – 4
3. Do you agree with the contention that the functions f(x) = x + 2 and g(x) =
x- 2
are the same in every respect. Provide evidence to support your position.
4. Do you agree with the statement that “ cubic functions must have at least 1
x-intercept but not more than 3, whereas quadratic functions may or may not have x-intercepts.
Provide evidence to support your position.
Transcribed Image Text:1. In Unit 1 you have learnt about the remainder theorem and long division. Compare and contrast the usefulness of both. 2. If the result of a polynomial division is 2x³ 23 - 4x2 – 5x + x+ 2 make at least three definitive statements about the dividend and the divisor that is involved. x2 – 4 3. Do you agree with the contention that the functions f(x) = x + 2 and g(x) = x- 2 are the same in every respect. Provide evidence to support your position. 4. Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more than 3, whereas quadratic functions may or may not have x-intercepts. Provide evidence to support your position.
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