Question

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

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)