Chapter 5.4(a) Multiplying Polynomials.notebook
January 23, 2017
Bellwork:
1) Write the equation of the line graphed.
Homework Questions???
2) You are shopping for a new car. You want to have a down payment of 20% when buying your car. If the car you want to buy is $15,900, how much should your down payment be? Add/Subtract the following polynomials.
3) (3x2 + 4xy + 3y ­ 2) + (2xy ­ 3y + 6)
4) (2a3 + a4 ­ 3) ­ (a2 + a4 ­ 7)
Jan 9­7:56 AM
Jan 9­8:08 AM
We can multiply two or more polynomials by using properties of real numbers and exponents.
Chapter 5.4(a) Multiplying Polynomials
Multiply two polynomials, binomials and square binomials.
Product Rule: Multiply with the same base, leave the bases alone and add the exponents. (x2 x4 = x6)
The simplest polynomials to multiply are two monomials; combine the coefficients and exponents with the same base.
1) Multiply the following monomials.
a. (7y2)(4y5)
b. (­a2b3c)(10ab2c12)
c. (3x5)(4)
d. (5x2y5z4)(­2xyz2)
Jan 9­8:08 AM
We can multiply a monomial by a polynomial other than a monomial by expanding the distributive property.
a(b + c + d + .... + z) = ab + ac + ad + ... + az
2) Multiply the following monomial and polynomials.
a. 4x(3x ­ 2)
Jan 9­9:33 AM
We can multiply any size polynomial by any size polynomial by using the distributive property.
Multiplying Two Polynomials
Use the distribute property and multiply each term of one polynomial by each term of the other polynomial. Then combine any like terms.
b. ­2y3(5y2 ­ 2y + 6)
3) Multiply and Simplify
c. ­a2b(4a3 ­ 2ab + b2)
Jan 9­9:37 AM
a. (x + 2)(3x + 1)
b. (7y ­ 2)(2y2 ­ y)
Jan 9­9:41 AM
1
Chapter 5.4(a) Multiplying Polynomials.notebook
January 23, 2017
When multiplying a binomial by a binomial we can use a special order of multiplying terms called FOIL.
FOIL stands for First Outer Inner Last.
What property do we use to multiply to polynomials?
4) Multiply the following binomials using FOIL
a. (x ­ 7)(x + 5)
b. (4x ­ 3)(x ­ 6)
c. (6x + 5y)(2x ­ y)
Jan 9­9:45 AM
Jan 9­10:00 AM
Homework
P. 289­290 #1­10, 17­22 (all)
Jan 9­10:01 AM
Jan 12­3:13 PM
2