Algebra 2 4.6 Practice

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The function graphed here has degree = 4. Describe the number and types of solutions the equation has.

• total = 4

  real = 4

  complex = 0

• total = 4

  real = 2

  complex = 2

• total = 4

  real = 4

  complex = 4

• total = 4

  real = 0

  complex = 4

Tags

CCSS.HSA.APR.B.3

The function graphed here has degree = 5. Describe the number and types of solutions the equation has.

• total = 5

  real = 5

  complex = 0

• total = 5

  real = 0

  complex = 5

• total = 5

  real = 3

  complex = 2

• total = 5

  real = 4

  complex = 1

Tags

CCSS.HSA.APR.B.3

The function graphed here is f(x) = x² + 2x + 3. Describe the number and types of solutions the equation has.

• total = 2

  real = 1

  complex = 1

• total = 2

  real = 2

  complex = 0

• total = 2

  real = 0

  complex = 2

• total = 3

  real = 2

  complex = 1

Solve:

5x(x² + 100) = 0

• x = 0, x = -10

• x = 0, x = -100

• x = 0, x = -10, x = 10

• x = 0, x = 10i, x = -10i

Tags

CCSS.HSA-REI.B.4B

Solve:

x³ - 81x = 0

• x = 0, x = 81

• x = 0, x = 9, x = -9

• x = -9, x = 9

• x = 0, x = 9i, x = -9i

Tags

CCSS.HSA-REI.B.4B

Solve:

x³ - 5x² - 9x + 45 = 0

• x = 5, x = 3i, -3i

• x = 0, x = 3, x = 5

• x = 5, x = 3, x = -3

• x = 5, x = 9, x = -9

Tags

CCSS.HSF-IF.C.7C

Solve:

x² - 3x - 4 = 0

• x = -2, x = 1

• x = -4, x = 1

• x = 2, x = -1

• x = 4, x = -1

Tags

CCSS.HSA-REI.B.4B

Solve:

x⁴ + 5x² - 36 = 0

• x = 3i, x = -3i,

  x = 2, x = -2

• x = 3, x = -3,

  x = 2i, x = -2i

• x = 3i, x = -3i,

  x = 2i, x = -2i

• x = 3, x = -3,

  x = 2, x = -2

Tags

CCSS.HSA-REI.B.4B

Write a quadratic equation with root 7i.

• f(x) = x² + 14x + 49

• f(x) = x² - 14x + 49

• f(x) = x² - 49

• f(x) = x² + 49

Tags

CCSS.HSA.APR.B.3