EX10. Draw and label a scalene triangle whose perimeter is
5y2 - 4y + 6
EX10. Draw an label an isosceles triangle whose perimeter
5y2 - 4y + 6
EX11. Suppose that you bought a house in 2006 for
$150,000. Because of
the national housing market disaster, this house is depreciating at the
rate of $8000 per year. (A) Write a polynomial function that will
give you the value of this house in x years. (B) Find the value of the
house in 2010.
Chapter 5, Section 3: Multiplying Polynomials
xaxb = xa+b
(xa)b = xab
Note1: To multiply one monomial by another, multiply the
and multiply the variable factors.
Note2. To multiply a polynomials by a monomial, use the
property and multiply each term of the polynomial by the monomial.
EX3. 3a(4a2 + 3a - 4)
EX4. -4r2s(2r2s2 - 3rs2 + 5rs)
Note 3. To multiply a polynomial by a polynomial, use the
Special Case. To multiply a binomial by a binomial , use
property twice. This process is often referred to as F.O.I.L.
The meaning of F.O.I.L. in this process of multiplying two
F=the product of the first terms
O=the product of the outer terms
I= the product of the inner terms
L=the product of the last terms
EX5. (3t - 2)(4t + 3)
EX6. (2a - b)(2a +b)
EX7. (x3 + 3y2)(x2+2y)
EX8. (y + 4)2
EX9. (a + b)2
Note3. The square of a binomial is a
EX10. (2A - B)(4A2 + 3AB - B2)
A) What is the length of each side of the largest square shown in
the figure above?
B) Find the area of the largest square by using its side
C) Find the area of each part of the largest square.
Def. Prime number–a natural number that has
exactly two distinct factors
Question: What does it mean to say that “x is a factor of y”?
EX1. Find all the factors of 24.
Find all the factors of 90.
Find the common factors of 24 and 90.
What is the Greatest Common Factor , GCF, of 24 and 90?
What does it mean to say that “x is the GCF of y”?
EX2. Using prime factorization to find the GCF.
Find the prime factorization of 24 and 90.
Note1. The GCF of the two numbers will be a product the
factors common to the two numbers with each common prime
number factor raised to the lowest power on that factor in either
EX3. Use the method of prime factorization to find the GCF
(280 and 294).
EX4. Find the GCF of a2b3c and a4bd
EX5. Find the GCF of 18x2y and 24xy3
Note2. To factor a polynomial, find the GCF of each term
polynomial and use the distributive property: ab + ac = a(b + c)
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