Answers Common Core Algebra II A-ICWriting 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?

u = (x + 5)

u = (x – 5)

u = (x + 5)2

u = (x – 5)2

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Which equation is quadratic in form?

4(x – 2)2 + 3x – 2 + 1 = 0

8x5 + 4x3 + 1 = 0

10x8 + 7x4 + 1 = 0

9x16 + 6x4 + 1 = 0

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

u = (x3)

u = (x3 + 1)

u = (x3 + 1)2

u = (x3 + 1)3

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

u = x2

u = x3

u = x6

u = x12

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

and x = ±10

and x = ±10i

and x = ±10i

and x = ±10

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

x = 1 and x =

x = ±1 and

x = ±i and

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

(u – 4)2 – (u – 4) – 6 = 0 where u = (x – 4)

u2 – (u – 4) – 6 = 0 where u = (x – 4)

u2 – 16 – u – 6 = 0 where u = (x – 4)

u2 – u – 6 = 0 where u = (x – 4)

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

x = i and x = i

i and x = i

and x =

and x = -

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

and

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

(u + 2)2 + 5(u + 2) – 6 = 0 where u = (x – 2)

u2 + 4 + 5u – 6 = 0 where u = (x – 2)

u2 + 5u – 6 = 0 where u = (x + 2)

u2 + u – 6 = 0 where u = (x + 2)

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Quadratic in Form Polynomials Answers

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