Graphing Polynomial Functions Answers

If (x + k) is a factor of f(x), which of the following must be true?

Which is a factor of 144 − 49x2?

Which is a factor of 6x2 + x − 7?

Which is the completely factored form of 18x4 – 42x3 + 24x2?

What is the factorization of 81a6 - 100?

A polynomial function has a root of –7 with multiplicity 2, a root of –1 with multiplicity 1, a root of 2 with multiplicity 4, and a root of 4 with multiplicity 1. If the function has a positive leading coefficient and is of even degree, which statement about the graph is true?

According to the Rational Root Theorem, the following are potential roots of f(x) = 6x4 + 5x3 – 33x2 – 12x + 20., –2, 1, Which is an actual root of f(x)?

The price that a company charged for a computer accessory is given by the equation where x is the number of accessories that are produced, in millions. It costs the company $10 to make each accessory. The company currently produces 2 million accessories and makes a profit of 100 million dollars. What other number of accessories produced yields the same profit?

Which is a factor of x2 + 5x − 24?

The model represents a perfect square monomial.What equation is represented by the model?

Which is a factor of f(x) = 60x4 + 86x3 – 46x2 – 43x + 8? Use the Rational Root Theorem to help you find your answer.

Mandisa draws a rectangle to represent the area of her yard. The area can be represented by 10x2 – 13x – 14.

Rodney models the factorization of a trinomial with algebra tiles as shown.

Which expression is equivalent to 64 − 9x2?

If f(–5) = 0, what are all the factors of the function ? Use the Remainder Theorem.