Ch ap t er Rev i ew
Connecting BIG id e a s a n d A n s w e rin g the Essential Q u e stio n s
1 E q u i v a l e n c e
You can represent
algebraic expressions
in m any ways. W hen
you add, subtract,
multiply, divide, and
factor polynomials,
you replace one
expression w ith
an equivalent
expression.2 Pr o p e r t i e s
The properties of
real numbers are
the basis o f the law s
of algebra. You can
apply properties of
real numbers, such
as th e D istrib u tive
Property, to
polynomials.Adding and Subtracting
Polynomials (Lesson 8-1)
(3x2 + 4x + l) + (2x2 + 5x + 8)
= (3x2 + 2x2) + (4x + 5x) + (1 + 8)
= 5x2 + 9x + 9Multiplying Binomials (Lesson 8-3)
(m + 4)(2m - 5) = 2m2 - 5m + 8m - 20
= 2 m2 + 3m - 20Factoring Trinomials (Lessons 8-5
and 8 - 6 )
x2 - 6x + 8 = (x - 2)(x - 4)Factoring by Grouping (Lesson 8 - 8 )
3x2 - 10x - 8 = 3x2 - 12x + 2x - 8
= (3x2-12x) + (2x - 8)
= 3x(x - 4) + 2(x - 4)
= (3x + 2)(x - 4)Multiplying Special
Cases (Lesson 8-4)
(2x + 3)(2x - 3) = 4x2 - 9Factoring Special
Cases (Lesson 8-7)
49p2 - 16 = (7p + 4)(7p - 4)Ch a p t e r V o c a b u l a r y
binom ial (p. 487)
degree of a m onom ial
(p. 4 8 6 )
degree of a polynomial
(p. 4 8 7 )difference of tw o squares
(p. 5 2 5 )
factorin g by g ro u p in g
(p. 5 2 9 )monomial (p. 486)
perfect-square trinom ial
(p. 5 2 3 )
polynom ial (p. 487)Choose the correct term to complete each sentence.
- A polynomial that has two terms is a(n)
- A monomial or the sum of two or more monomials is a(n)?.
- A(n) J_ is an expression that is a number, a variable, or a product of a number
and one or more variables. - A polynomial that is the product of two identical binomial factors is a(n) ?.
- The sum of the exponents of the variables in a monomial is the?.
standard form o f a
polynom ial (p. 487)
tr in o m ia l (p. 4 8 7 )c
PowerAlgebra.com | C h a p t e r 8 Chapter Review 535