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

Quadratic in Form Polynomials Answers

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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
2
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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
3

What substitution should be used to rewrite 4x4 – 21x2 + 20 = 0 as a quadratic equation?

A
u = x2
B
u = 2x2
C
u = x4
D
u = 4x4
4

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)
5

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

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