Graphing Polynomial Functions — Unit test Answers

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A student factors 15c2 + c – 28 to the following. (c + 2)(15c – 14) Which statement about (c + 2)(15c – 14) is true?

The expression is equivalent, and it is completely factored.

The expression is equivalent, but it is not completely factored.

The expression is not equivalent, but it is completely factored.

The expression is not equivalent, and it is not completely factored.

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Which statement about 4x2 + 19x – 5 is true?

One of the factors is (x – 4).

One of the factors is (4x + 1).

One of the factors is (4x – 5).

One of the factors is (x + 5).

What is the remainder when (3x3 – 2x2 + 4x – 3) is divided by (x2 + 3x + 3)?

3x – 11

28x – 36

28x + 30

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

f(k) = 0

f(–k) = 0

A root of f(x) is x = k.

A y intercept of f(x) is x = –k.

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

(x – 2)(x + 5)(x – 3)

(x + 2)(x – 5)(x + 3)

(x – 2)(x + 5)

(x + 2)(x – 5)

If 5 + 6i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?

–5 – 6i

5 – 6i

6 – 5i

6 + 5i

Which statement about the polynomial function g(x) is true?

If all rational roots of g(x) = 0 are integers, the leading coefficient of g(x) must be 1.

If all roots of g(x) = 0 are integers, the leading coefficient of g(x) must be 1.

If the leading coefficient of g(x) is 1, all rational roots of g(x) = 0 must be integers.

If the leading coefficient of g(x) is 1, all roots of g(x) = 0 must be integers.

What is the completely factored form of 12xy – 9x – 8y + 6?

(3x – 2)(4y – 3)

3x(4y – 3) – 2(4y + 3)

–6x(4y – 3)(4y – 3)

(3x – 2)(4y – 3)(4y – 3)

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