Operations With Polynomials

Find the difference.

(-9 + 7x + x²) - (-4x - 5 + 3x²)

• x² + 6x + 8

• 2x² + 5x - 7

• -x² -6x + 8

• -2x² + 11x - 4

Simplify the expression.
-3x²( 7x² - x + 4)

• -21x⁴ + 3x³ -12x²
• 7x² - x + 4 (-3x²)
• 21x⁴ + 3x³ + 12x²
• -12x² + 3x³ -21x⁴

Tags

CCSS.HSA.APR.A.1

(4x - 1)(3x² - 2x + 5)

• 12x³ - 11x² + 22x - 5
• 12x³ - 3x² + 14x - 5
• 12x³ - 5x² + 8x - 5

Tags

CCSS.HSA.APR.A.1

Which expression is equivalent to:
(2x²+5x-7)(x-2)?

• 2x³ - x² + 17x -14
• 2x³ + 9x² + 3x +14
• 2x³ + x² + 3x +14
• 2x³ + x² - 17x +14

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Which of the following expressions represents the quotient of  $\frac{8x^3+10x^2-4x+6}{x+1}$  

•  $8x^2+2x-6+\frac{12}{x+1}$  

•  $8x^2+2x-6-\frac{9}{x+1}$  

•  $8x^2+18x+14+\frac{11}{x+1}$  

•  $8x^2+18x+14-\frac{17}{x+1}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

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

CCSS.HSA.SSE.B.3

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

Find the difference. 
(3- 2x + 2x²) - (4x -5 +3x²)

• x_² + 6x + 8
• 2x² + 5x - 7
• -x² -6x + 8
• -2x² + 11x - 4

Tags

CCSS.HSA.APR.A.1

What is the standard form of the polynomial,
 9x² + 5x + 27 + 2x³

• 27 + 5x + 9x² + 2x³
• 9x² + 5x + 2x³ + 27
• 9x² + 5x + 27 + 2x³
• 2x³ + 9x² + 5x + 27