The Fundamental Theorem of Algebra

Question 1

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

Revolt · Accepted Answer

f(x) = (x + 5)(x – 1)

Question 2

The corresponding polynomial function is

Revolt · Accepted Answer

f(x) = x2 + 4x - 5

Question 3

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

Revolt · Accepted Answer

f(x) = (x – 1)(x – 6); f(x) = 3(x – 1)(x – 6); f(x) = 6(x – 1)(x – 6)

Question 4

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

Revolt · Accepted Answer

f(x) = (x – 1)(x – 1)(x – 6)

Question 5

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

Answer image: https://media.edgenuity.com/EVresources/3111-06-07-10-08-task/mc001-3.jpg

Question 6

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

Revolt · Accepted Answer

(x + 2)(x + )(x - )

Question 7

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

Revolt · Accepted Answer

3 – i

Question 8

The factors of the polynomial are

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/3111-06-07-10-10-task/mc001-3.jpg

Question 9

C =

Revolt · Accepted Answer

-10

Question 10

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

Revolt · Accepted Answer

(x + 3)(x + 1)(x – 2)(x – 3)

The Fundamental Theorem of Algebra Answers

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