Transformations of Quadratic Functions

Question 1

Complete the steps to identify all potential rational roots of f(x) = 3x2 – x – 4.Values of p are factors of .

Revolt · Accepted Answer

C: -4

Question 2

Check all of the numbers that are potential rational roots of f(x) = x4 – 2x3 + 5x2 – 7x + 9.

Revolt · Accepted Answer

A: ±1; B: ±3; C: ±9

Question 3

The graph of f(x) = 2x3 +x2 – 4x – 2 is shown.How many of the roots of f(x) are rational?

Revolt · Accepted Answer

B: 1

Question 4

f(x) = 4x4 – 8x3 – 3x2 +7x – 2 = (x + 1)(4x3 – 12x2 +9x – 2)Look at the graph. Which of the following potential roots should you test next?

Revolt · Accepted Answer

B:

Question 5

of the polynomial.

Revolt · Accepted Answer

B: definitely a root

Question 6

Which of the values shown are potential roots of f(x) = 3x3 – 13x2 – 3x + 45? Select all that apply.

Revolt · Accepted Answer

A: ; B: ; C: ; D: ; E: ; F: ; G: ; H:

Question 7

Complete the steps to solve the polynomial equation x3 – 21x = –20.According to the rational root theorem, which number is a potential root of the polynomial?

Revolt · Accepted Answer

C: 1

Question 8

Values of q are factors of .

Revolt · Accepted Answer

A: 3

Question 9

Complete the statement with the choice that best describes the relationship between the polynomial and its rational zeroes.A polynomial, P, has a leading coefficient of 1 and a constant term. The rational roots of P are all .

Revolt · Accepted Answer

B: factors of the constant term

Question 10

If x = 1 2 , then x − 1 2 = 0. This is the same as = 0.

Revolt · Accepted Answer

A: 2x – 1

Transformations of Quadratic Functions Answers

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