Graphs to support answer for number four 1. In Unit 1 you have learnt about the remainder theorem and long division. Compare andcontrast the usefulness of both.232. If the result of a polynomial division is 2x3 –- 4x? – 5x +x+2make at least threedefinitive statements about the dividend and the divisor that is involved.x - 43. Do you agree with the contention that the functions f(x) = x+2 and g(x) =x- 2are 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 1x-intercept but not more than 3, whereas quadratic functions may or may not have x-intercepts.Provide evidence to support your position.

A cubic function is one in the form f(x)=ax3+bx2+cx+d. The "basic" cubic function, f(x)=x3 , is…

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 havex-intercepts. 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 havex-intercepts. Provide evidence to support your position.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section: Chapter Questions

Problem 5T: (a) Use synthetic division to find the quotient and remainder when x44x2+2x+5 divided by x — 2. (b)...

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Question

Graphs to support answer for number four

1. In Unit 1 you have learnt about the remainder theorem and long division. Compare and
contrast the usefulness of both.
23
2. If the result of a polynomial division is 2x3 –- 4x? – 5x +
x+2
make at least three
definitive statements about the dividend and the divisor that is involved.
x - 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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