The Rational Roots Theorem

Question 1

A polynomial function has roots –5 and 1. Which of the following could represent this function?

Revolt · Accepted Answer

D: f(x) = (x + 5)(x – 1)

Question 2

Which polynomial functions have only the roots 1 and 6? Check all that apply.

Revolt · Accepted Answer

A: f(x) = (x – 1)(x – 6); D: f(x) = 3(x – 1)(x – 6); E: f(x) = 6(x – 1)(x – 6)

Question 3

Which polynomial function has a root of 1 with multiplicity 2 and a root of 6 with multiplicity 1?

Revolt · Accepted Answer

C: f(x) = (x – 1)(x – 1)(x – 6)

Question 4

A polynomial function, f(x), with rational coefficients has roots of –2 and .The irrational conjugates theorem states that which of the following must also be a root of the function?

Revolt · Accepted Answer

B:

Question 5

A polynomial function that has roots 1 and 3 + i.The complex conjugates theorem states that must also be a root.

Revolt · Accepted Answer

C: 3 – i

Question 6

Write the 4th degree polynomial function shown by the graph.The factors of the polynomial functions are .

Revolt · Accepted Answer

B: (x + 3)(x + 1)(x – 2)(x – 3)

Question 7

The corresponding polynomial function is

Revolt · Accepted Answer

B: f(x) = x2 + 4x - 5

Question 8

Complete the statement.The polynomial function f(x) = ____.

Revolt · Accepted Answer

B: (x + 2)(x + )(x - )

Question 9

The factors of the polynomial are

Revolt · Accepted Answer

C:

The Rational Roots Theorem Answers

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