Mid-Chapter Quiz
1MathXL for School
y Go to P ow erAlgebra.comDo y o u k n o w H OW?
Find the degree of each monomial.- —5a8
- 4x2y 3
Write each polynomial in standard form. Then name each
polynomial based on its degree and number of terms.- 4x + 3x2
- 7p2 - 3p + 2 p3
Simplify each sum or difference.- (x2 + 6x + 11) + (3x2 + 7x + 4)
- (5w3 + 3w2 + 8w + 2) + (7w2 + 3w+ l)
- (4q2 + 10<7 + 7) - ( 2 q2 + 7q + 5)
- (9 t4 + 5 t + 8 ) - (3 t2 - 6 t - 4 )
Simplify each product.- 6 x2(4x2 + 3)
- —8c3(3c2 + 2 c — 9 )
Factor each polynomial.- 16b4 + 8b2 + 20b
- 77X3 + 22x2 — 33x — 88
Simplify each product.- (x + 2)(x + 9)
- (4b — l)(b — 8)
- (b + 2)(3b2 + b — 7 )
- (z - l ) ( z 2 - 4z + 9 )
- Design You are designing a rectangular ru b b e r
stam p. The length of th e stam p is 2r + 3. The w idth
of th e stam p is r - 4. W hat polynom ial in stan d ard
form rep resen ts the area of th e stam p?
Simplify each product.- (r + 3)2
- (jfc-3)(k + 3)
- ( 3 d + 10)2
- (g + 10)(g - 10)
- (2m - 7)2
- (7b - 2)(7b + 2)
- Woodworking A bird h o u se has a square base with
side length 3x - 4. W hat polynom ial in standard
form represents th e area of th e base?
Do y o u UN DERSTAN D?
- Writing Can th e degree of a m onom ial ever be
negative? Explain. - Geometry The figures below are rectangles. W hat
polynom ial in stan d ard form represents th e area of
the shaded region?
x + 3x + 6- Open-Ended Write a trinom ial th a t has 9x2 as the
GCF of its term s. - Open-Ended Write a trinom ial of degree 4 such that
th e GCF of its term s is 1. - Reasoning Suppose n represents an even num ber.
W rite a sim plified expression th at represents the
p ro d u ct of th e next two even num bers. - W riting D escribe how to simplify
(8k2 + k - l) - (k3 - 4k2 -7 k + 15 ). Write your
answ er as a polynom ial in stan d ard form.
510 Chapter 8 M i d - Ch ap t er Qu i z