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

Question

Mathematics

Silky

20 January, 10:25

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

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Answers (1)

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Bender · Answer 1

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)

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

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