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