Let f, g = R[x] be polynomials, with deg g > 0. (a) The division rule for polynomials states that ƒ can be divided by g to produce a quotient q and remainder r. Write down the two conclusions that the division rule states about q and r. (b) How do we tell, from q and r, whether g divides f? (c) Suppose that deg f = 8, and (x - 1)³ divides f. What can be said about the multiplicity of x 1 as a solution of f(x) = 0? -

Q: hè upward velóčity óf

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A: We can solve this using newton interpolation formula

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A: no of roots = ?

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A: Given query is to perform synthetic division.

Q: 9. Graph Identify end behavior, x and y intercept , optional point and graph F(x) = x ( x-1) ( x + 3…

A:

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A:

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A:

Q: L Find for the quotient of the following polynomials using long division. 1. (x - 6x + 8) + (x-2)

A: Perform a long division method

Q: 1. Which of the following is a polynomial? A. 5x 4x 1+7 B. xV5 + x? D. 3x5 – 5

A:

Q: 322. 2x49x³ +5x² - 3x6 is divided by x-4

A:

Q: 1. Sketch each polynomial function: a) y =(x-2)³-3 b) y=-2x²(x+3) c) y=(x+1)(x−2)² d) y=x²-13x² +36

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A: Answer is first option.

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Q: 9

A: We will find the difference coefficient.

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A:

Q: Find the unique quotient q(x) and remainder is divided by g(x). Consider polynomials in What #f(x) =…

A: Solution: f(x)=2x4+x2-x+1g(x)=2x-1 To find the quotient and remainder we use long division method.