Operations for Polynomials Review

Simplify the expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3 
• -7n² - 8n + 3 
• -6n² - 8n + 3
• -7n² - 4n + 3

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

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

(x³-x²+4) - (3x³-2x²+3)

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

(x +2)(x + 3)

• x² + 5x + 6
• x² + x + 6
• x² + 5x + 5
• x² + 6x + 6

Classify this polynomial by its degree and number of terms:  x³ + 2x + 6

• Cubic polynomial
• Quadratic binomial
• Quadratic trinomial
• Cubic trinomial

Classify this polynomial by its degree and number of terms:  x² + 6

• Linear polynomial
• Quadratic trinomial
• Quadratic binomial
• Cubic binomial

What is the correct name of the following:

3x + 5y² - 3

• linear binomial

• linear trinomial

• quadratic trinomial

• quadratic polynomial

8

• Constant polynomial

• Linear monomial

• Constant monomial

• Linear monomial with 0 terms

Simplify

(3y² + y³ - 5) + (4y² - 4y + 2y³ + 8)

• 3y³ + 7y² - 4y + 3

• 4y² + 3y³ - y + 3

• -y⁴ + 2y³ -y - 4

• 4y³ + 3y² -3y + 1

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

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