p.557 2, 5, 8, 19, 22, 25, 26, 28, 30, 34, 38, 40, 48, 54

Objective: add and subtract polynomials

Monomial◦ A number, variable, or the product of a number and

one or more variables with whole number exponents.◦ Its degree is the sum of the exponents of the

variables.

Monomial Degree10 0

3x 1

½ ab2 3

-1.8m5 5

Monomial: What is NOT one

Not a Monomial

Why not?

5 + x Is a sum

2/n No variables in denominator

4a No variables in exponent

X-1 Exponent not a whole #

Polynomial: a monomial or a sum of monomials, each called a term

Degree of a Polynomial: the greatest degree of its terms

Leading Coefficient: the coefficient of the first term when the terms are written so the exponents decrease from left to right.

Binomial: Polynomial with two terms Trinomial: Polynomial with three terms

3b3-2b4 + b2

Write so that the exponents decrease from left to right.

Identify the degree.

Identify the leading coefficient.

-2b4 + 3b3 + b2

Degree = 4

Lead Coeff. = -2

A. 5xy2

B. 3a-5

C. X4 + 3x3 – x

D. 9/m

E. 6a2c + 5ac5

A. Yes, 3, monomial

B. Yes, 1, binomial

C. Yes, 4, polynomial

D. No

E. Yes, 6, binomial

Just combine like terms!

(-2x2 + 3x – x3) + (3x2 + x3 – 12)

◦ X2 + 3x -12

(4x3 + 2x2 -4) + (x3 -3x2 + x)

◦ 5x3 – x2 + x - 4Vertical Format

4x3 + 2x2 -4 x3 -3x2 + x

5x3 – x2 + x - 4

(2c2 – 8) – (3c2 – 4c +1)◦ 2c2 – 8 – 3c2 + 4c – 1◦ -c2 + 4c – 9

(5y2 + 2y – 4) – (-y2 +4y – 3)◦ 5y2 + 2y – 4 + y2 - 4y + 3◦ 6y2 – 2y - 1

Vertical Format

(5y2 + 2y – 4) 5y2 + 2y – 4-(-y2 +4y – 3) y2 - 4y +3

6y2 – 2y - 1

Between 1999 and 2005, the number of hours an individual person watched broadcast television B and cable and satellite television C can be modeled by: B = 2.8t2 – 35t + 879 and C = -5t2 + 80t +712 where t is the number of years since 1999. About how many hours did people watch television is 2002?

◦ About 1706 hours