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

Show all work to evaluate f (a) using the function you created.

Question

Emery Wilkins

Mathematics

25 August, 23:40

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

Show all work to evaluate f (a) using the function you created.

+4

Answers (1)

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Jamiya Holland · Answer 1

Our quadratic polynomial function is:

f (x) = 4x^2 + 2x + 5

our linear binomial form is:

x - a = - 2

hence:

a = x + 2

and so we have:

f (x) = 4x^2 + 2x + 5

f (a) = 4 (x + 2) ^2 + 2 (x + 2) + 5

= 4 (x^2 + 4x + 4) + 2x + 4 + 5

f (a) = 4x^2 + 18x + 25

Create a quadratic polynomial function f (x) and a linear binomial in the form (x - a).Show all work to evaluate f (a) using the function you created.

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

Show all work to evaluate f (a) using the function you created.