Addition and Subtraction of Polynomials

Add the polynomials (3x² - 6x + xy), (2x³ - 5x² -3y) and (7x + 8y)

• 2x³ - 8x² + x + xy + 5y

• 2x³ - 2x² + x + xy - 5y

• 2x³ - 2x² - x + xy + 5y

• 2x³ - 2x² + x + xy + 5y

Tags

CCSS.HSA.APR.A.1

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

• -x² - 7x + 11y + 5y²

• -x² - 7x + 11y + 14xy + 5y²

• -x² + 7x + 11y - y²

• x² + 7x - 11y - 5y²

Tags

CCSS.HSA.APR.A.1

Subtract (-3x² + 5y - 4xy + y²) from (2x² - 4y + 7xy - 6y²)

• -5x² + 9y - 11xy + 7y²

• 5x² - 9y + 11xy - 7y²

• -x² + y + 3xy - 5y²

• -x² - 9y + 11xy - 7y²

Tags

CCSS.HSA.APR.A.1

If P = 5x⁴ - 2x²  + 4x - 3 and Q = 5x⁴ + 3x³ - 4x + 3, what is P - Q?

• -3x³ - 5x²  + 8x  - 6

• -3x³ - 2x²  + 8x  - 6

• -3x³ + 2x²  + 8x  - 6

• -3x³ - 2x² 

Tags

CCSS.HSA.APR.A.1

If P = 4x⁴ - 3x³ + x² - 5x + 11
and Q = -3x⁴ + 6x³ - 8x² + 4x - 3
what is 2P + Q?

• 5x⁴ - 6x²  - 6x + 19

• 5x⁴ - 12x^³  - 6x² - 6x + 19

• 2x⁴ + 3x²  - 7x² - x + 8

• 5x⁴ - 6x²  - 14x + 19

Tags

CCSS.HSA.APR.A.1

If P = 4x⁴ - 3x³ + x² - 5x + 11 and Q = -3x⁴ + 6x³ - 8x² + 4x - 3, what is P - 2Q?

• -2x⁴ + 9x³  - 15x² + 3x + 5

• 10x⁴ - 9x³  + 17x² - 13x + 17

• 10x⁴ - 15x³  + 17x² - 13x + 17

• 14x⁴ - 18x³  + 18x² - 18x + 28

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Add the polynomials (-4x³ + x²y - xy²), (3x³ - xy² + 5x²y) and (7xy² + 3y³)

• -x³ + 4xy² + 3y³

• x³ + 6x²y + 5xy² + 3y³

• -x³ + 6x²y + 5xy² + 3y³

• -x³ + 6x²y + 9xy² + 3y³

Tags

CCSS.HSA.APR.A.1

Add the polynomials (5x²y - xy²+ 5x - 3), (4xy² - 3y + 7xy - 5) and (2x²y - 3xy)

• 7x²y + 3xy² - 3y + 4xy + 5x + 2

• 3x²y + 3xy² - 3y + 4xy + 5x - 8

• 7x²y - 5xy² - 3y + 4xy + 5x - 8

• 7x²y + 3xy² - 3y + 4xy + 5x - 8

Tags

CCSS.HSA.APR.A.1

If P = 3x² + xy - 5y², Q = 2x² - xy + 3y² and R = -6x² + 4xy - 7y²,
what is P + Q - R ?

• 11x² - 4xy + 5y²

  
  

• -x² - 4xy + 5y²

  
  

• -x² - 2xy + 5y²

  
  

• 11x² - 4xy - 9y²

  
  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

P = 3x² + xy - 5y²,
Q = 2x² - xy + 3y² and
R = -6x² + 4xy - 7y²

What is P - (Q + R) ?

• -5x² - 2xy - 15y²

• 7x² + 2xy - y²

• 7x² - 2xy - y²

• -5x² + 6xy - 15y²

Tags

CCSS.HSA.APR.A.1