Adding and Subtracting Polynomials

Find the sum.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

• 4x³ + 1x² – 3x + 1

• 2x³ + 1x² - 5x + 9

• 6x³ + 1x - 1x² - 3

• 3x⁵ +1x - 1x⁵ - 3x

Add: (3x² + 2x + 1) + (2x² - 4x - 5) + (3x - 1)

• 5x² + 6x - 7

• 8x² - 3x - 5

• 5x² + x - 5

• 6x² + 8x + 5

Subtract: (2a² + 5a + 3) -(a² - 3a - 4)

• 3a² + 2a - 1

• a² + 8a + 7

• 3a² + 8a + 7

• a² + 2a - 1

Combine like terms: 8x³y + 3x²y + 4xy + 5x²y + 2xy + 7x²y

• 8x³y + 8x²y + 2xy

• 11x³y + 15x²y + 8xy

• 8x³y + 15x²y + 6xy

• 23x²y + 6xy

(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3 

• -7n² - 8n + 3 

• -6n² - 8n + 3

• -7n² - 4n + 3

Classify by degree of polynomial:
3x³ – 6x

• Constant

• Linear

• Quadratic

• Cubic

What is the perimeter of the rectangle?

• x²+8x-5

• 2x²+16x-10

• 2x²+10x-8

• 6x-2

Find the sum.

(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

• 4x³ + 1x² – 3x + 1

• 2x³ + 1x² - 5x + 9

• 6x³ + 1x - 1x² - 3

• 3x⁵ +1x - 1x⁵ - 3x

(4a + 6ab - b) + ( - 2a - ab + 3b)

• 2a + 7ab + 2b

• 6a + 5ab - 2b

• 6a + 7ab + 4b

• 2a + 5ab + 2b

Combine like terms to simplify:

(5x + 2) + (4x + 5)

• 9x -7

• -9x-11

• 9x+7

• x+7