Answers Common Core Algebra II A-ICWriting Polynomial Functions from Complex Roots

Quadratic in Form Polynomials Answers

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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 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

x = ±i and

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

u = x2

u = 2x2

u = x4

u = 4x4

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 – 5x2 – 14 = 0? Use factoring to solve.

and

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