Answers AZ-Common Core Algebra II ASum and Difference of Two Cubes

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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

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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 are the solutions of the equation x4 + 3x2 + 2 = 0? Use u substitution to solve.

and x = ±1

and x = ±i

and x = ±1

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

u = x2

u = x3

u = x6

u = x12

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

u = x2

u = 2x2

u = x4

u = 4x4

What are the solutions of the quadratic equation (x – 8)2 – 13(x – 8) + 30 = 0? Use u substitution to solve.

x = –11 and x = –18

x = –2 and x = 5

x = 2 and x = –5

x = 11 and x = 18

What is the solution of the equation (x – 5)2 + 3(x – 5) + 9 = 0? Use u substitution and the quadratic formula to solve.

x = StartFraction negative 3 plus-or-minus 3 i StartRoot 3 EndRoot Over 2 EndFraction

x = StartFraction 7 plus-or-minus 3 i StartRoot 3 EndRoot Over 2 EndFraction

x = 2

x = 8

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 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

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

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