Operations with Polynomials

Find the sum.
(2x² + 5x - 7) + (3 - 4x² + 6x)

• 2x² + 3x + 1
• -2x² - 11x - 4
• 2x² + 5x - 7
• -2x² + 11x - 4

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

Find the difference.
(7p + 4p³ - 8) - (-3p² + 2 - 9p)

• -3p² + 4p³ -15 + 9
• 3p³ + 4p² - p + 3
• 4p³ -3p² +16p -10
• 4p³ +3p² + 16p + 10

Tags

CCSS.HSA.APR.A.1

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

Simplify:

• r² - 3r -2
• r² - 3
• -2r -2 
• r² - 2r -3

Tags

CCSS.HSA.APR.A.1

(4x + 2)(2x - 2)

• 8x² - 4
• 8x² + 6x - 4
• 8x² - 4x - 4
• 8x² - 4x + 4

Tags

CCSS.HSA.APR.A.1

Add the polynomials:
(2x+5y) + (3x-2y)

• 3x + 5y
• 5x + 3y
• 5x + 7y
• 7xy + 1xy

Tags

CCSS.HSA.APR.A.1

Add the polynomials:
(3x³+3x²–4x+5) + (x³–2x²+x–4)

• 4x³ + 1x² – 3x + 1
• 2x³ + 1x² - 5x + 9
• 6x³ + 1x - 1x² - 3
• 3x⁵ +1x - 1x⁵ - 3x

Tags

CCSS.HSA.APR.A.1

A rectangle has width (2x + 3) and length (2x - 4).  What is the perimeter of the rectangle?

• 4x - 12
• 4x - 1
• 8x - 2
• 4x² - 2x - 12

Tags

CCSS.7.EE.A.1

Find the area of a rectangle with length (x - 5) and width (3x + 1).

• 3x²+16x-5
• 3x²-14x+5
• 3x²-14x-5

Tags

CCSS.HSA.APR.A.1