Degree of a Polynomial The degree of a polynomial is calculated by finding the largest exponent in...

Classifying Polynomials

Degree of a PolynomialThe degree of a polynomial is calculated by finding the largest exponent in the polynomial.

Degree of a Polynomial(Each degree has a special “name”)

9 No variable Constant

8x 1st degree Linear

7x2 + 3x 2nd degree Quadratic

6x3 – 2x 3rd degree Cubic

3x4 + 5x – 1 4th degree Quartic

2x5 + 7x3 5th degree Quintic

5xn 6th degree or higher

“nth” degree

Let’s practice classifying polynomials by “degree”.POLYNOMIAL

1. 3z4 + 5z3 – 72. 15a + 253. 1854. 2c10 – 7c6 + 4c3 - 95. 2f3 – 7f2 + 16. 15y2

7. 9g4 – 3g + 58. 10r5 –7r9. 16n7 + 6n4 – 3n2

DEGREE NAME1. Quartic2. Linear3. Constant4. Tenth degree5. Cubic6. Quadratic7. Quartic8. Quintic9. Seventh degree

The degree name becomes the “first name” of the polynomial.

Naming Polynomials (by number of terms)

One term Monomial25x

One term Monomial

Two terms Binomial

One term Monomial

Two terms Binomial

Three terms Trinomial

3x 37 2 4x x

One term Monomial

Two terms Binomial

Three terms Trinomial

Four (or more) terms

Polynomial with 4 (or more) terms

3x 37 2 4x x

4 3 22 2 5x x x x

Let’s practice classifying a polynomial by “number of terms”.

Polynomial1. 15x2. 2e8 – 3e7 + 3e – 73. 6c + 54. 3y7 – 4y5 + 8y3

5. 646. 2p8 – 4p6 + 9p4 + 3p –

17. 25h3 – 15h2 + 188. 55c19 + 35

Classify by # of Terms:1. Monomial2. Polynomial with 4

terms3. Binomial4. Trinomial5. Monomial6. Polynomial with 5

terms7. Trinomial8. Binomial

Can you name them now?

POLYNOMIAL1. 5x2 – 2x + 32. 2z + 53. 7a3 + 4a – 124. -155. 27x8 + 3x5 – 7x + 4

6. 9x4 – 37. 10x – 1858. 18x5

CLASSIFICATION / NAME

1. Quadratic Trinomial2. Linear Binomial3. Cubic Trinomial4. Constant Monomial5. 8th Degree Polynomial

with 4 terms.

6. Quartic Binomial7. Linear Binomial8. Quintic Monomial

Degree of a Polynomial The degree of a polynomial is calculated by finding the largest exponent in...

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