AnswersINMT3 Integrated Math 3 Sem 1 26-27Writing Polynomial Functions from Complex Roots

Writing Polynomial Functions from Complex Roots Answers

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Use substitution to write an equivalent quadratic equation.(3x + 2)2 + 7(3x + 2) – 8 = 0

A
u² + 7u - 8 = 0, where u = (3x + 2)²
B
u² + 7u - 8 = 0, where u = 3x + 2
C
u² + 7u - 8 = 0, where u = 7(3x + 2)
D
u² + u - 8 = 0
2
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Select all of the solutions to the original equation.

A
x = 4
B
x = - 16
C
x = - 4
D
x = 16
E
x = - 8
F
x = - 1
G
x = 1
H
x = 8
3

Which equation is equivalent tof(x) = 16x4 – 81 = 0?

A
(4x² - 9)(4x² - 9) = 0
B
(4x² + 9)(4x² - 9) = 0
C
(4x - 9)(4x - 9) = 0
D
(4x + 9)(4x - 9) = 0
4

Solve x4 – 17x2 + 16 = 0.Let u = .

A
x
B
17x²
C
x²
D
-17x²
5

Rewrite the equation in terms of u.

A
u² - 17u - 16 = 0
B
17u² + u + 16 = 0
C
-u² + 17u + 16 = 0
D
u² - 17u + 16 = 0
6

Factor.

A
(u + 16)(u + 1) = 0
B
(u - 16)(u - 1) = 0
C
(u + 17)(u - 1) = 0
7

Solve (x + 3)2 + (x + 3) – 2 = 0.Let u =

A
x
B
x + 3
C
(x + 3)²
D
x²
8

Rewrite the equation in terms of u.

A
(u2 + 3) + u – 2 = 0
B
u2 + u – 2 = 0
C
(u2 + 9) + u – 2 = 0
D
u2 + u + 1 = 0
9

Factor the equation.

A
(u + 2)(u – 1) = 0
B
(u + 1)(u – 2) = 0
C
(u – 2)(u – 1) = 0
10

What are the solutions of 4x4 – 4x2 = 8?

A
x = ± i
B
x = ±1
C
Option
D
Option
11

Solve the equation 6(2x + 4)2 = (2x + 4) + 2.

A
Option
B
Option
C
Option
D
Option
12

Solve (x + 4)2 – 3(x + 4) – 3 = 0 using substitution.u =

A
x
B
x + 4
C
3(x + 4)
D
(x + 4)²
13

What are the solutions of the original equation?

A
= 1 or x = –2
B
= –1 or x = 2
C
x = –5 or x = –2
D
= 4 or x = –5
14

Select the solution(s) of the original equation.

A
Option
B
Option
C
Option
D
Option
15

Examine the criteria below. Check which of these you included in your response.

A
The equation is not quadratic in form.
B
The variable part of the first term is not the square of the variable part of thesecond term.
C
The result of squaring x cubed is x to the 6th power, not the 9th power.
D
x9 (x3)2

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