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Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a).


Use complete sentences to explain how the remainder theorem is used to determine whether your linear binomial is a factor of your polynomial function

Verified Answer :

lets create both equations and :

f(x) = 5x^2 + 1


linear binomial form: x - 4

according to the remainder theorem, x - 4 is a divisor of f(x) if and only if f(4) = 0
f(4) = 5*16 + 1 = 81

hence x - 4 is not a divisor of f(x)

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