The function f is such that f(x)=4x-&r²+ar+b, where a and b are constants. It is given that 2x-1 is a factor of f(x) and that when f(x) is divided by x + 2 the remainder is 20. Find the remainder when f(x) is divided by x-1.

Q: 4x² + 21x + 54 dx x² + 6x + 13

A: The given integral is  (4x2+21x+54)/(x2+6x+13).

Q: Find f(x) divided by g(x)

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A: Given,

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Q: Find the zeros of f(x) = x^2 − 6x + 10. Then, compute x1/x2 where x2 is the zero with positive…

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Q: . For f(x) = 5x - 8 and g(x) = x2 - 3x + 4, find (g - f)(x)

A: given,         f(x)= 5x - 8gx=x2-3x+4

Q: The constant term of f(x)=x2+4x3+1 is 1. How can you say that 1 is the constant term?

A: fx=x2+4x3+1

Q: If f(x) = 3x + 2, and * g(x)=x +x - 2 , find gof.

A:

Q: Let f(x) = x* + 5x³ + 8x² + 3x.

A: The power derivative of y=xn  is given by, y'=dydx=ddxxn =nxn-1 Linear property of differentiation:…