Operations with Polynomials

Simplify: (2n² - 8n⁴) + (4n² - 5n⁴)

• -13n⁴ + 6n²

• -3n⁴ + 6n²

• 3n⁴ + 6n²

• -13n⁴ + 8n²

Tags

CCSS.HSA.APR.A.1

Simplify: (6x³ - 7x²) - (7x³ + 8x² - 7x⁴)

• 7x⁴ - x³ -15x²

• -7x⁴ - x³ -15x²

• 7x⁴ + x³ + x²

• -7x⁴ + x³ + x²

Tags

CCSS.HSA.APR.A.1

Simplify: (4 + 3x² + 8x³) + (-7x³ + 12x⁵ + 6x²)

• 12x⁵ + x³ + 9x² + 4

• 12x⁵ - x³ + 9x² + 4

• 12x⁵ + x³ + 18x² + 4

• 12x⁵ + x³ + 3x² + 4

Tags

CCSS.HSA.APR.A.1

Multiply: (2x + 3) (x - 2)

• 2x² - x - 6

• 2x² + 6x - 6

• 2x² -x + 1

• 2x² + 6x + 6

Tags

CCSS.HSA.APR.A.1

What degree is the following polynomial: 3x⁴ + 4x² + x - 1- 4x⁵

• 5

• 4

• 12

• 11

How do we write the following polynomial in standard form: 3x³ + 6x² - x - 2x⁵ + 4x⁴

• -2x⁵ + 4x⁴ + 3x³ + 6x² - x

• 10x¹⁵

• -x + 6x² + 3x³ + 4x⁴ - 2x⁵

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely: x⁴ - 81

• (x² + 9) (x + 3) (x - 3)

• (x² + 9) ( x² - 9)

• (x + 3)² (x - 3)²

Tags

CCSS.HSA.APR.C.4

Factor completely: x² + 8x + 7

• (x + 7) (x + 1)

• (x - 7) (x - 1)

• (x + 8) (x + 1)

• (x - 8) (x - 1)

Factor: 27x²y⁵ - 72x³y²

• 9x²y² ( 3y³ - 8x)

• -45x⁵y⁷

• 3x²y² (9y³ - 24x)

• 9xy (3xy⁴ - 8x²y)

Factor completely: 8x³ - 64x² + x - 8

• (8x² + 1) (x - 8)

• 8x (x² - 8x) + x - 8

• Cannot be factored