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

Quadratic in Form Polynomials Answers

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1
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Write 6(x – 5)4 + 4(x – 5)2 + 6 = 0 in the form of a quadratic by using substitution.

A
6u2 + 4u + 6 = 0, where u = x – 5
B
6u2 + 4u + 6 = 0, where u = (x – 5)2
C
6u4 + 4u + 6 = 0, where u = x – 5
D
6u4 + 4u + 6 = 0, where u = (x – 5)2
2
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Select all of the solutions to the equation.

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

Select all of the following equation(s) that are quadratic in form.

A
x4 – 6x2 – 27 = 0
B
3x4 = 2x
C
2(x + 5)4 + 2x2 + 5 = 0
D
6(2x + 4)2 = (2x + 4) + 2
E
6x4 = -x2 + 5
F
8x4 + 2x2 – 4x = 0
4

Solve 4x4 + 7x2 – 2 = 0.Choose the factored form of the polynomial expression.

A
(2x² - 1)(2x² + 2)
B
(4x² - 1)(x² - 2)
C
(4x² + 1)(x² - 2)
D
(4x² - 1)(x² + 2)
5

Solve using substitution.u =

Question illustration
A
x
B
x²
C
3x²
D
Option
6

Solve (x + 1)2 – 4(x + 1) + 2 = 0 using substitution.u =

A
x
B
4(x +1)
C
x +1
D
(x + 1)2
7

Select the solution(s) of the original equation.

A
Option
B
x = 1
C
x = i
D
x = -1
E
Option
F
x = -i
8

Select the solution(s) of the original equation.

A
x = 1 +
B
x = 2 +
C
x = 3 +
D
x = 1 -
E
x = 2 -
F
x = 3 -

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