Ch ap t er Test
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M athX L ® f o r School
'< 3 5 Go to P ow erA lgebra.comDo yo u k n o w H OW?
Write each polynomial in standard form.
1. 2x - 3x2 + 6 + 5x3- 7 + 9x + 2x2 + 8x5
Simplify. Write each answer in standard form.- (4x2 + 9x+ l) + (2x2 + 7x+ 13)
- (8x2 + 5x + 7) - (5x 2 + 8x-6)
- (5x4 + 7x + 2 ) - (3x2-2x+9)
- ( - 7x3 + 4x-6 ) + (6x3+ 10x2 + 3 )
Simplify each product. Write in standard form.- -p(8p2 + 3 p)
- (r + 8)(r + 6)
- (5w — 6)(2w + 7)
- (4s + 5) (7s2 — 4s + 3)
11. (q -l)2- (3g — 5)(3g + 5)
- Camping A rectangular campground has length 4x + 7
and width 3x - 2. What is the area of the campground?
Find the GCF of the terms of each polynomial.- 16x6 + 22x2 + 30x5
- 7u3 —10u2 + 9u4
Factor each expression.- x2+ 17x + 72
- 4v2 — 16u + 7
- n2- 16n + 64
- 6f2 — 54
- y2- 121
Factor completely.- 7h4 — 4fz 3 + 28h2 — \8h
- 15? 3 + 2t2 — 45f — 6
- 6 n 4 +1 5 « 3 — 9n2
- 9u 4 + 12u 3 - 18u2 - 24u
- Art The area of a square painting is Hip2 +^90 p + 25.
What is the side length of the painting?
Do y o u UN DERSTAN D?
- Open-Ended Write a trinomial with degree 5.
- Writing Explain how to use the Distributive
Property to multiply two binomials. Include
an example. - Geometry What is an expression for the area of
the figure? Write your answer as a polynomial in
standard form.
x + 13x0 29. Open-Ended What are three different values that
complete the expression x2 + B x + 24 so that you
can factor it into the product of two binomials? Show
each factorization.Write the missing value in each perfect-square trinomial.- n2+Un + 81
- 16y2 — 56y +
- p2 + 30 p + 25
@ 33. Reasoning The expression (x - 2)2 - 9 has the
form a 2 - b 2.
a. Identify a and b.
b. Factor (x - 2)2 - 9. Then simplify.f iPowerAlgebra.com ^ IChapter^8 Chapter Test^539 —I
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