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

Quadratic in Form Polynomials Answers

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What substitution should be used to rewrite 6(x + 5)2 + 5(x + 5) – 4 = 0 as a quadratic equation?

A
u = (x + 5)
B
u = (x – 5)
C
u = (x + 5)2
D
u = (x – 5)2
2
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Which equation is quadratic in form?

A
4(x – 2)2 + 3x – 2 + 1 = 0
B
8x5 + 4x3 + 1 = 0
C
10x8 + 7x4 + 1 = 0
D
9x16 + 6x4 + 1 = 0
3

What substitution should be used to rewrite 16(x3 + 1)2 – 22(x3 + 1) – 3 = 0 as a quadratic equation?

A
u = (x3)
B
u = (x3 + 1)
C
u = (x3 + 1)2
D
u = (x3 + 1)3
4

What substitution should be used to rewrite 4x12 – 5x6 – 14 = 0 as a quadratic equation?

A
u = x2
B
u = x3
C
u = x6
D
u = x12
5

What are the solutions of the equation x4 + 95x2 – 500 = 0? Use factoring to solve.

A
and x = ±10
Option A
B
and x = ±10i
Option B
C
and x = ±10i
Option C
D
and x = ±10
Option D
6

What are the solutions of the equation x4 – 9x2 + 8 = 0? Use u substitution to solve.

A
x = 1 and x =
Option A
B
x = ±1 and
Option B
C
x = ±i and
Option C
D
x = ±i and
Option D
7

Which quadratic equation is equivalent to (x – 4)2 – (x – 4) – 6 = 0?

A
(u – 4)2 – (u – 4) – 6 = 0 where u = (x – 4)
B
u2 – (u – 4) – 6 = 0 where u = (x – 4)
C
u2 – 16 – u – 6 = 0 where u = (x – 4)
D
u2 – u – 6 = 0 where u = (x – 4)
8

What are the solutions of the equation x4 + 6x2 + 5 = 0? Use u substitution to solve.

A
x = i and x = i
Option A
B
i and x = i
Option B
C
and x =
Option C
D
and x = -
Option D
9

What are the solutions of the equation x4 – 5x2 – 14 = 0? Use factoring to solve.

A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
10

Which quadratic equation is equivalent to (x + 2)2 + 5(x + 2) – 6 = 0?

A
(u + 2)2 + 5(u + 2) – 6 = 0 where u = (x – 2)
B
u2 + 4 + 5u – 6 = 0 where u = (x – 2)
C
u2 + 5u – 6 = 0 where u = (x + 2)
D
u2 + u – 6 = 0 where u = (x + 2)

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