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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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. 23 2. If the result of a polynomial division is 2x3 – 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) х — 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. 23 2. If the result of a polynomial division is 2x3 – 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) х — 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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