AnswersAZ-Common Core Algebra II AThe Rational Roots Theorem

The Rational Roots Theorem Answers

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1
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Check all of the numbers that are potential rational roots of f(x) = x4 – 2x3 + 5x2 – 7x + 9.

A
±1
B
±3
C
±9
D
Option
E
Option
F
Option
2
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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 .

A
factors of the leading coefficient
B
factors of the constant term
C
multiples of the constant term
3

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

A
0
B
1
C
2
D
3
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?

A
Option
B
Option
C
Option
D
Option
5

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

A
Option
B
Option
C
Option
D
Option
E
Option
F
Option
G
Option
H
Option
6

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?

A
–7
B
0
C
1
D
3

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The Rational Roots Theorem Answers — AZ-Common…