5.1: Adding, Subtracting and Multiplying Polynomials

Find the difference:
(x³ - x² + 4) - (3x³ - 2x² + 3)

• -2x³ - 3x² + 7
• -2x³ + x² + 1
• 2x³ - 3x³ - 1
• 4x³ - 3x² + 7

Tags

CCSS.HSA.APR.A.1

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

(3x²-5x+ 8y+7xy+2y²) - (4x²+2x-3y+7xy-3y²)=

• -x² - 7x + 11y + 5y²
• x² + 7x + 11y - y²
• 7x²-3x+5y+14xy-y²
• -x² - 7x + 11y + 14xy + 5y²

Tags

CCSS.HSA.APR.A.1

Add the following polynomials:

(12x² + 3x⁴ - 6x - 2) + (-3x⁴ + 5x + 9 - 7x²)

• 5x² - x + 7

• 6x⁴ + 5x² - x + 7

• 6x⁴ + 5x² - x + 11

• 5x² + 11x + 11

Tags

CCSS.HSA.APR.A.1

(5x²y-xy²+5x-3)+(4xy²-3y+7xy-5)+(2x²y-3xy)

• 7x²y + 3xy² - 3y + 4xy + 5x - 8
• 7x²y + 3xy² - 3y + 4xy + 5x + 2
• 7x²y - 5xy² - 3y + 4xy + 5x - 8
• 3x²y + 3xy² - 3y + 4xy + 5x - 8

Tags

CCSS.HSA.APR.A.1

(4x+1)(5x−2)

• 20x² + 3x − 2
• 20x² − 11x + 5
• 20x² − 18x + 2
• 20x² − 3x − 2

Tags

CCSS.HSA.APR.A.1

-5x⁶(3x² - 12x + 30)

• -15x⁸ + 60x⁷ - 150x⁶
• 15x⁸ - 60x⁷ - 150x⁶
• 8x⁶ - 17x + 35
• -8x⁶ + 17x - 35x²

Tags

CCSS.HSA.APR.A.1

Simplify the product.

(2x – 6)²

• 4x² – 24x + 36
• 4x² – 8x + 36
• 4x² + 36
• 4x² – 12x + 36

Tags

CCSS.6.EE.A.3

Multiply  7x²y³ (2x⁴y⁵+6xy³)

• 14x⁸y¹⁵+42x²y⁹
• 9x⁶y⁸+13x³y⁶
• 14x⁶y⁸+42x³y⁶
• 14x⁶y⁸+42x²y⁶

Tags

CCSS.HSA.APR.A.1

Multiply:
(x + 1) (x² - 2x + 1)

• x³ - x² - x + 1
• x³ - 2x + 2
• x³ + x² + x + 1
• x³ - 3x² - 3x + 1

Tags

CCSS.HSA.APR.A.1