Ok with algebra

polynomial division and the remainder theorem

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

part 1. show all work using long division to divide your polynomial by the binomial.

part 2. show all work to evaluate f(a) using the function you created.

part 3. use complete sentences to explain how the remainder theorem is used to determine whether your linear binomial is a factor of your polynomial function

polynomial identities

pick a two-digit number greater than 25. rewrite your two-digit number as a difference of two numbers. show how to use the identity (x − y)2 = x2 − 2xy + y2 to square your number without using a calculator.