Operations with Polynomials

Classify by degree of polynomial:
3x³ – 6x

• Constant
• Linear
• Quadratic
• Cubic

Classify by number of terms:
2x – 9

• Monomial
• Binomial
• Trinomial
• 4-Term Polynomial

Classify by number of terms:
3x² – 8x + 1

• Monomial
• Binomial
• Trinomial
• 4-Term Polynomial

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

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

(4x²+x) - (x²+2x)

• 3x² - x
• 4x² + 2x
• 3x² + 3x
• 3x² + 2x

Multiply:
(4x+1)(5x−2)

• 20x² + 3x − 2
• 20x² − 11x + 5
• 20x² − 18x + 2
• 20x² − 3x − 2

Classify by number of terms:
12

• Monomial
• Binomial
• Trinomial
• 4-Term Polynomial

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

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

(x +2)(x + 3)

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

Simplify the expression.
-3x²( 7x² - x + 4)

• -21x⁴ + 3x³ -12x²
• 7x² - x + 4 (-3x²)
• 21x⁴ + 3x³ + 12x²
• -12x² + 3x³ -21x⁴