Polynomial Unit Exam

Simplify the following: (2k+3)(2k²-4k-3)

• 4k³+18k²-2k-9

• 4k³-2k²+6k-9

• 4k³+14k²-6k-9

• 4k³-2k²-18k-9

Tags

CCSS.HSA.APR.A.1

The polynomial x³ + 4x² + 4x + 3 divided by x + 3 is equal to

• x² - 12x + 40

• x² + x + 1

• x² - x - 1

• x³ + x² + 1x

Tags

CCSS.HSA.APR.D.6

What is the quotient when 10x³ - 3x² - 7x + 3is divided by 2x - 1?

• 5x² + x + 3

• 5x² - x + 3

• 5x² - x - 3

• 5x² + x -3

Tags

CCSS.HSA.APR.D.6

The completely factored form of 2d⁴ + 6d³ - 18d² - 54d is...

• 2d(d² - 9)(d + 3)

• 2d(d² + 9)(d + 3)

• 2d(d + 3)(d + 3)(d - 3)

• 2d(d + 3)(d - 3)(d - 3)

When factored completely, m⁵ + m³ - 6m is equivalent to

• (m + 3)(m - 2)

• m(m⁴ + m² - 6)

• (m³ + 3m)(m² - 2)

• m(m² + 3)(m² - 2)

What is the product of (x² - 2x + 3) and (x + 1)

• x³ - x² + x + 3

• x³ - 2x² + 3x

• x² - 3x + 2

• x² - x + 4

Tags

CCSS.HSA.APR.A.1

Simplify the polynomial expression: (5x⁴ + 7x³ + 7x²) + (3x - 3x⁴ - 5x²)

• 2x⁴ + 2x² + 3x

• -4x⁴ + 2x² + 3x

• x⁴ + 2x² + 3x

• 2x⁴ + 7x³ 2x² + 3x

Tags

CCSS.HSA.APR.A.1

The completely factored form of 3d³ - 24 is....

• 3(d -2)(d² - 2d + 4)

• 3(d -2)(d² + 2d + 4)

• 3(d +2)(d² - 2d + 4)

• 3(d +2)(d² + 2d + 4)

Tags

CCSS.HSA.APR.C.4

Simplify using polynomial operations:

5x(x - 4x²) - (2x² + x³ - 1) - (x + 2)

• -19x³ + 3x² - x + 1

• -21x³ + 3x² - x - 1

• -19x³ + 3x² - x - 3

• -21x³ + 3x² - x + 3

Tags

CCSS.6.EE.A.3

Factor completely: 2n² + 16n + 14

• 2(n - 7)(n + 1)

• 2(n + 7)(n + 1)

• 2(n + 7)(n - 1)

• (n +7)(n + 1)