Adding, Subtracting and Naming Polynomials

Simplify the expression

(6n² - 6n⁴ - 6) - (3 - 6n⁴ + 3n²)

• 3n² - 9

• 3n² - 14 + 3n⁴

• 4n² - 14 + 3n⁴

• 3n² - 9 + 3n⁴

Add the polynomials (x-2) and (x²+3)

• x²+x+1

• x³+5

• x³+1

• x³-1

(3x²+xy-5y²) +
(2x²-xy+3y²)

• 5x²-2xy+8y²

• 5x²-2y²

• 5x²+2y²

• 5x²+2xy-8y²

Add
(2x - 4xy + 3y) +
(x + 5xy - 5y)

• 3x + 9xy + 8y

• 3x - xy + 8y

• 3x + xy - 2y

• x - 9xy - 2y

(7x² - 3x) + (5x² + x + 3)

• 12x² - 2x + 3

• 2x² + 4x + 3

• 12x⁴ + 2x² + 3

• 2x² - 4x - 3

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

• -8n² - 8n + 3 

• -7n² - 8n + 3 

• -6n² - 8n + 3

• -7n² - 4n + 3

(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

• 4b⁴ - 2b³ + 7

• 5b⁴ - 2b³ + 4

• b⁴ - 2b³ + 7

• 5b⁴ - 2b³ + 7

What is the standard form of the polynomial,
 9x² + 5x + 27 + 2x³

• 27 + 5x + 9x² + 2x³

• 9x² + 5x + 2x³ + 27

• 9x² + 5x + 27 + 2x³

• 2x³ + 9x² + 5x + 27

three-term polynomial

• monomial

• binomial

• trinomial

• polynomial

Classify by degree of polynomial:
7x³ – 8x² -4x+ 9

• Constant

• Linear

• Quadratic

• Cubic