Polynomials 1031 Objective Students will be able to

Polynomials 10/31 Objective: Students will be able to classify polynomials. Students will be able to simplify. Students will be able evaluate polynomials. Standards: NC. M 2. A-APR. 1 Operations of polynomials Essential Question: Are you able to classify other things like you classify polynomials? LESSON Classifying Polynomials An expression which is the sum of terms of the form a x k where k is a nonnegative integer is a polynomial. Polynomials are usually written in standard form. Polynomial in standard form: 2 x 3 + 5 x 2 – 4 x + 7 Leading coefficient Degree Constant term The degree of each term of a polynomial is the exponent of the variable. The degree of a polynomial is the largest degree of its terms. When a polynomial is written in standard form, the coefficient of the first term is the leading coefficient.

Objective: Students will be able to classify polynomials. Students will be able to simplify. Students will be able evaluate polynomials. Standards: NC. M 2. A-APR. 1 Operations of polynomials Essential Question: Are you able to classify other things like you classify polynomials? Polynomial Degree Classified by degree Classified by number of terms ___ __________ __________ __________ _____ 6 – 2 x 3 x + 1 –x 2 + 2 x – 5 4 x – 8 x 3 2 x 4 – 7 x 3 – 5 x 5 + 1 ___

Objective: Students will be able to classify polynomials. Students will be able to simplify. Students will be able evaluate polynomials. Standards: NC. M 2. A-APR. 1 Operations of polynomials Essential Question: Are you able to classify other things like you classify polynomials? Ex 1. (5 x 3 – x + 2 x 2 + 7) – (3 x 2 + 7 – 4 x) + (4 x 2 – 8 – x 3) Ex 2. Simplify -x(x 2 – 2 x + 1).

Objective: Students will be able to classify polynomials. Students will be able to simplify. Students will be able evaluate polynomials. Standards: NC. M 2. A-APR. 1 Operations of polynomials Essential Question: Are you able to classify other things like you classify polynomials? Ex 3. Simplify (x-2)(3 x 2 –x+5)

Objective: Students will be able to classify polynomials. Students will be able to simplify. Students will be able evaluate polynomials. Standards: NC. M 2. A-APR. 1 Operations of polynomials Essential Question: Are you able to classify other things like you classify polynomials? Ex 4. Simplify 2(x+1)3+x 2 +1

Objective: Students will be able to classify polynomials. Students will be able to simplify. Students will be able evaluate polynomials. Standards: NC. M 2. A-APR. 1 Operations of polynomials Essential Question: Are you able to classify other things like you classify polynomials? Evaluate f(x) = 3 x 2 – 2 x – 6 at the designated values: (a) f(-2) (b) f(3 a) (c) f(x-1)