Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express P in the form P(x) = D(x) · Q(x) + R(x). P(x) = x4 + 3x3 - 18x, D(x) = x - 4

Q: The polynomial p(x) = 2-(x+1)+x(x+1)- 2x(x+1)(x–1) interpolates the first four points in the table:…

A: Given, the polynomial p(x)=2-(x+1)+x(x+1)-2x(x+1)(x-1)   interpolates the first four points in the…

Q: Given f(x)=(x-3)(x+2)(x+3), give a strategy for writing the expanded form of the polynomial

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Q: Use synthetic division to divide f(x) by x- k for the given value of k. Then express f(x) in the…

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Q: Find the value by substituting the given value of x into the polynomial and simplifying. P(x) = 4x3…

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Q: Find the greatest common divisor of the polynomials. f(x)= x³-11x²+24x+30 & g(x) = x² - 12x +35.

A: We have to find greatest common divisor of Given polynomial function.

Q: Use synthetic division to find the quotient and the remainder. (* +x - 1) +(x-3)

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.