AnswersFL-1200330-Algebra 2 Sem 1 - FlexSum and Difference of Two Cubes

The Rational Roots Theorem Answers

13 verified answers
1
Free Preview

Question text not available

Answers:
.:-4
.:3
2
Free Preview

Select all of the potential roots.

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
E
Option
Option E
F
Option
Option F
G
Option
Option G
H
Option
Option H
3

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
Option D
E
Option
Option E
F
Option
Option F
4

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 factors of the leading coefficient✔ factors of the constant termX multiples of the constant term.

A
factors of the leading coefficient
B
✔ factors of the constant term
C
X multiples of the constant term
5

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
6

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
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

✔ 2x – 12x + 12x

Answers:
If x = 1 2 , then x − 1 2 = 0. This is the same as = 0.:2x – 1
In completely factored form, f(x) = .:(x + 1)(x – 2)(2x – 1)²
8

(x + 1)(x – 2)(2x – 1)(x + 1)(x – 2) ²(2x – 1)✔ (x + 1)(x – 2)(2x – 1)²

A
(x + 1)(x – 2)(2x – 1)
B
(x + 1)(x – 2) ²(2x – 1)
C
✔ (x + 1)(x – 2)(2x – 1)²
9

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

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
E
Option
Option E
F
Option
Option F
G
Option
Option G
H
Option
Option H
10

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
11

Use the synthetic division shown to help factor the polynomial and solve the equation. What are the solutions of the equation?

Question illustration
A
1, 4, and –5
B
1, –4, and 5
C
–1, –7, and 3
D
–1, 5, and 9
12

Which of the number(s) below are potential roots of the function?p(x) = x4 + 22x2 – 16x – 12

A
±6
B
Option
Option B
C
±1
D
Option
Option D
E
±3
F
±8
13

Which of the number(s) below are potential roots of the function?q(x) = 6x3 + 19x2 – 15x – 28

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
±6
E
±14
F
Option
Option F

Did you find these answers helpful?

More from this Course

Instruction
15 verified answers

Factoring Polynomials Completely

Assignment
19 verified answers

The Rational Roots Theorem

Assignment
19 verified answers

Sum and Difference of Two Cubes

The Rational Roots Theorem Answers…