Objectives The student will be able to: 1. find the degree and leading coefficient of a polynomial. 2.arrange the terms of a polynomial in ascending or.

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Objectives The student will be able to: 1. find the degree and leading coefficient of a polynomial. 2.arrange the terms of a polynomial in ascending or descending order. 3.Classify the polynomial by degree and number of terms.

What does each prefix mean? mono one bi two tri three

What about poly? one or more A polynomial is a monomial or a sum/difference of monomials. Important Note!! An expression is not a polynomial if there is a variable in the denominator.

State whether each expression is a polynomial. If it is, identify it by the number of terms. 1) 7y - 3x + 4 trinomial 2) 10x 3 yz 2 monomial 3) not a polynomial

Which polynomial is represented by X2X2 1 1 X X X 1.x 2 + x x 2 + x x 2 + 2x x 2 + 3x I’ve got no idea!

The degree of a monomial is the sum of the exponents of the variables. The leading coefficient is the numerical factor of the degree term. Find the degree of each monomial. Then find the leading coefficient. 1) 5x 2 D:2LC:5 2)4a 4 b 3 c D:8LC:4 3)-3 D:0 -3 is a constant

To find the degree of a polynomial with a single variable, find the largest degree of the terms. 1) 8x 2 - 2x + 7 Degrees: Which is biggest? 2 is the degree! 2) y 7 + 6y 4 + 3x 4 m 4 Degrees: is the degree!

Find the degree of x 5 – x 3 y

A polynomial is normally put in ascending or descending order. What is ascending order? Going from small to big exponents. What is descending order? Going from big to small exponents.

Put in descending order: 1)8x - 3x 2 + x x 4 - 3x 2 + 8x - 4 2) Put in descending order in terms of x: 12x 2 y 3 - 6x 3 y 2 + 3y - 2x -6x 3 y x 2 y 3 - 2x + 3y

3) Put in ascending order in terms of y: 12x 2 y 3 - 6x 3 y 2 + 3y - 2x -2x + 3y - 6x 3 y x 2 y 3 4)Put in ascending order: 5a a - a a - a 2 + 5a 3

Write in ascending order in terms of y: x 4 – x 3 y 2 + 4xy – 2x 2 y 3 1.x 4 + 4xy – x 3 y 2 – 2x 2 y 3 2.– 2x 2 y 3 – x 3 y 2 + 4xy + x 4 3.x 4 – x 3 y 2 – 2x 2 y 3 + 4xy 4.4xy – 2x 2 y 3 – x 3 y 2 + x 4

Find the degree and label the polynomial by the degree and the number of terms. PolynomialDegreeIdentify by degreeIdentify by number of terms a. 8 b. 3x + 4 c. -6x 2 +3x-5 d. 8x 3 -3x Constant Linear Quadratic Cubic Monomial Binomial Trinomial Binomial