Adding, Subtracting & Multiplying Polynomials Review

Adding, Subtracting & Multiplying Polynomials Review

Adding Polynomials

When Adding Polynomials, be sure to line up like terms and add the coefficients.

Multiple Choice

(2x + 5y - z) + (-6x - 4y + 7z)

• -4x +6y + 6z

• 4x + y + 6z

• -4x - y + 6z

• -4x + y + 6z

• None of these

Multiple Choice

(4x³-5x²+3x)+(-2x³-x²+6x)

• 2x³-6x²-9x

• 2x³+6x²+9x

• -2x³-6x²+9x

• 2x³-6x²+9x

• None of these

Multiple Choice

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

Subtracting Polynomials

Remember to change the problem to addition and add the opposite.

Multiple Choice

Subtract the polynomials.

(2x + 5y) - (3x - 2y)

• -x + 3y

• -x + 7y

• 5x + 7y

• 7xy + 1xy

Multiple Choice

(x³-x²+4) - (3x³-2x²+3)

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

Multiple Choice

Add or Subtract to Simplify:
(x⁵ + x³) - (6x - x³ + 6x⁵)

• -5x⁵ + 2x³ - 6x
• 7x⁵ - 6x
• -5x³ + 2x² - 6x
• -5x⁵ - 6x

Multiplying a Polynomial by a Monomial

Use the Distributive Property: Remember to multiply coefficients and add exponents.

Multiple Choice

3x(2x² + 9x + 6)

• 6x³ + 27x² + 18x
• 6x³ + 18x² + 9

Multiple Choice

-5x⁶(3x² - 12x + 30)

• -15x⁸ + 60x⁷ - 150x⁶

• 15x⁸ - 60x⁷ - 150x⁶

• 8x⁶ - 17x + 35

• -8x⁶ + 17x - 35x²

Multiple Choice

 $3x^2\left(2x+6x^2+2\right)$  

•  $6x^1+10x^4+2x^2$  

•  $2x^3+3x^4+2x^2$  

•  $6x^3+18x^4+6x^2$  

Multiple Choice

Simplify:
3x³(2x² + 9x + 6)

• 6x⁵ + 27x⁴ + 18x
• 6x⁵ + 18x² + 9
• 6x⁵ + 27x⁴ + 18x³
• 6x⁵ + 45x³