Answers Summer_Advanced AlgebraUnit Test

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What are the roots of the polynomial equation ? Use a graphing calculator and a system of equations.

–6, 6

–4, 1, 3

–3, –1, 4

1, 3

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Which polynomial function has a leading coefficient of 2, root –4 with multiplicity 3, and root 10 with multiplicity 1?

f(x) = 2(x – 4)(x – 4)(x – 4)(x + 10)

f(x) = 2(x + 4)(x + 4)(x + 4)(x – 10)

f(x) = 3(x – 4)(x – 4)(x + 10)

f(x) = 3(x + 4)(x + 4)(x – 10)

A cube has side length x. One side of the cube is increased by 4 inches, and another side is doubled. The volume of the new rectangular prism is 450 cubic inches. The equation can be used to find x. What was the side length of the original cube? Use a graphing calculator and a system of equations to find the answer.

4 inches

5 inches

9 inches

10 inches

Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots and 2?

f (x) = 3 x cubed minus 6 x squared minus 15 x + 30

f (x) = x cubed minus 2 x squared minus 5 x + 10

f (x) = 3 x squared minus 21 x + 30

f (x) = x squared minus 7 x + 10

What is the factored form of ?

mc023-2.jpg

mc023-3.jpg

mc023-4.jpg

mc023-5.jpg

Which expression is a sum of cubes?

mc012-1.jpg

mc012-2.jpg

mc012-3.jpg

mc012-4.jpg

Three roots of a fifth degree polynomial function f(x) are –2, 2, and 4 + i. Which statement describes the number and nature of all roots for this function?

f(x) has two real roots and one imaginary root.

f(x) has three real roots.

f(x) has five real roots.

f(x) has three real roots and two imaginary roots.

Which of the following is the complete list of roots for the polynomial function ?