Add and Subtract Polynomials

Add the polynomials (x-2) and (x²+3)

• x²+x+1

• x³+5

• x³+1

• x³-1

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

• 11a³ - 4a² - 14a - 7 

• 5a³ - 4a² - 14a - 7 

• 5a³ - 4a² - 20a - 7 

• 5a³ - 9a² - 20a - 7

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

• x_² + 6x + 8

• 2x² + 5x - 7

• -x² -6x + 8

• -2x² + 11x - 4

(4x³-5x²+3x)+(-2x³-x²+6x)

• 2x³-6x²-9x

• 2x³+6x²+9x

• -2x³-6x²+9x

• 2x³-6x²+9x

(5x⁴ - 4x³ - 2x² + x - 19) - (x⁴ + 5x³ + 8x² + x + 5)

• 4x⁴ - 9x³ - 10x² - 24

• 4x⁴ - 9x³ - 10x² - 2x - 24

• 4x⁴ - 9x³ - 10x² + 2x - 24

• -4x⁴ - 9x³ - 10x² - 24

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

• 2x² + 3x +1

• -2x² - 11x -4

• 2x² + 5x -7

• -2x² + 11x -4

Simplify each expression.
(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

• 4b⁴ - 2b³ + 7

• 5b⁴ - 2b³ + 4

• b⁴ - 2b³ + 7

• 5b⁴ - 2b³ + 7

What expression/polynomial is modeled by the algebra tiles?

• 2x² + 4x + 1

• 2x² - 4x + 1

• x² - 4x + 1

• 6x + 1

What expression/polynomial is modeled by the algebra tiles?

• -2x² - 4 + 3

• -2x² + 2x + 3

• -2x² - 4x + 3

• -2x² + 4x + 3

Look at the model. Which of the following algebraic expressions could it represent? 

• 2x + 1 + 5 + 2x

• 2 + 1x + 4x + 2

• 2 + 1 + 4 + 2

• 2 + x + 4 + 2x