Polynomials Unit Review

The area of a rectangle is (2x² + 10x - 1) square units, and the width is (x + 1) units. What is the length of the rectangle?

• 2x + 12 - 13/(x + 1) units

• 2x + 8 - 9/(x + 1) units

• 2x² + 8x - 3 units

• x + 1 units

Tags

CCSS.HSA.APR.D.6

Simplify:

• 5x² + ½ x⁴y² 

• 5x² + 2x⁴y² - 1

• 5x² + ½ x⁴y² - 1

• 10x³y² + x⁵y⁴

Tags

CCSS.HSA.APR.D.6

This is the graph of g(x). What is the degree?

• 2

• 3

• 5

• 90

This is the graph of g(x). Write the factors and find an equation for the polynomial.

• g(x) = -x³ - x² + 21x + 45

• g(x) = x³ + x² - 21x - 45

• g(x) = x² - 2x - 15

• g(x) = x³ - x² - 21x + 45

Tags

CCSS.HSA.APR.B.3

The polynomial g(x) has zeros at x = 4 ± i. Write an equation for g(x).

• g(x) = x² + 8x + 17

• g(x) = x² - 8x + 17

• g(x) = x² + 16

• g(x) = x² + 17

Tags

CCSS.HSA.APR.B.3

Find all the zeros of f(x) = x⁴ + 5x² - 36 by factoring.

• x = ±3i, ±2

• x = ±3, ±2i

• x = 3, 2

• x = 9, -4

Tags

CCSS.HSF-IF.C.7C

Find all the zeros of g(x) = x⁴ + x³ + 3x² + 9x - 54 using your calculator as an aid.

• x = -3, 2, ± 3i

• x = -3, 2

• x = -3, -3, 2, 3

• x = 2, 3, ± 3i

Find the maximum point(s) of f(x).

• (-1, -1) and (1, -1)

• (0, 0)

• (0, 0), (-1, -1), and (1, -1)

• (-1, 0) ⋃ (1, ∞)

• 3x² - 5x + 1

• x² + x - 5

• 3x² + 5x - 1

• x² + 5x - 1

Tags

CCSS.HSA.APR.D.6

• 2x² - 3

• 2x² + 3x

• 2x² + 3

• 2x² - 3x

Tags

CCSS.HSA.APR.D.6