354 CHAPTER 6 Factoring
Simplify. See Section 5.1.Write each fraction with the indicated denominator. See Section 7.2.8
3
=
?
15
12
25
=
?
75
5
8
=
?
24
- 27 m^2 n^5
36 m^6 n^8
- 50 a^4 b^5
150 a^6 b^4
12 p^2
3 pPREVIEW EXERCISES
6.1
factoring
greatest common factor
(GCF)
6.2
prime polynomial6.3
difference of squares
perfect square trinomial
difference of cubes
sum of cubes6.5
quadratic equation
standard form of a quadratic
equation
double solutionKEY TERMS
SUMMARY
CHAPTER 6
- Factoringis
A.a method of multiplying
polynomials
B.the process of writing a
polynomial as a product
C.the answer in a multiplication
problem
D.a way to add the terms of a
polynomial.
2.A difference of squaresis a
binomial
A.that can be factored as the
difference of two cubes
B.that cannot be factored
C.that is squared
D.that can be factored as the
product of the sum and
difference of two terms.
3.A perfect square trinomialis a
trinomial
A.that can be factored as the square
of a binomial
B.that cannot be factored
C.that is multiplied by a binomial
D.where all terms are perfect
squares.4.A quadratic equationis a
polynomial equation of
A.degree one
B.degree two
C.degree three
D.degree four.
5.The zero-factor propertyis used to
A.factor a perfect square trinomial
B.factor by grouping
C.solve a polynomial equation of
degree 2 or more
D.solve a linear equation.TEST YOUR WORD POWER
See how well you have learned the vocabulary in this chapter.
ANSWERS
1.B; Example: factors as 2.D; Example: is the difference of the squares and It can be factored
as 3.A; Example: is a perfect square trinomial. Its factored form is 4.B; Examples:
5.C; Example:Use the zero-factor property to write as or and then solve
each linear equation to find the solution set 5 - 4, 2 6.
x^2 - 9 =0, 2x^2 = 6 x+ 8 1 x+ 421 x- 22 = 0 x+ 4 = 0 x- 2 =0,
1 b+ 721 b- 72. a^2 + 2 a+ 1 1 a+ 122. x^2 - 3 x+ 2 =0,x^2 - 5 x- 14 1 x- 721 x+ 22. b^2 - 49 b^27 2.