Classifying and Graphing Polynomials

Classify by number of terms:
3x³ – 6x

• Monomial

• Binomial

• Trinomial

• 4-Term Polynomial

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 degree of polynomial:
2x – 9

• Constant

• Linear

• Quadratic

• Cubic

Remember to look at your roots, multiplicity, and end behavior!! Use your notes!

• y = ^_(x + 2)(x - 1)²

• y = -(x - 2)(x + 1)²

• y = (x - 2)(x + 1)²

• y = -x³

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2

• y = -x⁴ + x³ + 5x + 2

• y = x³ - 2x² + 1x + 3

• y = -x³ - 2x² + 1x + 3

Match the equation to the graph. Remember to look at your roots, multiplicity, and end behavior!! Use your notes!

• y=-(x+1)(x-2)(x-4)

• y=(x+1)²(x-3)(x-1)³

• y = 3x³ – 2x + 1

• y=(x+1)³(x-3)(x-1)²

Classify the polynomial.

• 5th Degree Monomial

• 5th Degree Binomial

• 2nd Degree Trinomial

• 2nd Degree Polynomial

Classify the polynomial.

• Linear Monomial

• Linear Binomial

• Linear Trinomial

• Linear Polynomial with 2 Elements