Challenge Factor by grouping.- y3 + lly 2 - 4y - 44 42. p2m + p2n5 + qm + qn5 43. 3 0 g 5 + 2 4 g 3h - 35g2h2 - 28h3
^SAT/ACT
Sh o r t
,Response
- Geometry The polynomial 27rx3 + 127tx2 + I 877 -X represents the volume of a
cylinder. The formula for the volume V of a cylinder with radius r and height h
is V = 7 Tr2h.
a. Factor 2rrx3 + 12-77X2 + 187tx.
b. Based on your answer to part (a), write an expression for a possible radius of
the cylinder.
You can write the number 63 as 25 + 24 + 23 + 22 + 2 1 + 2°. For Exercises
45 and 46, factor each expression by grouping. Then simplify the powers of 2 to
write 63 as the product of two numbers.- (2 5 + 24 + 2 3) + ( 22 + 21 + 2°) 46. ( 25 + 2 4) + ( 23 + 2 2) + ( 21 + 2 °)
St an d ar d i zed Test Pr ep
- What is 30z3 - 12z2 + 120z — 48 factored completely?
CA) 2(15z3 - 6z2 + 60z - 24) CD 6(5z3 - 2z2 + 20z - 8)
CD (6z2 + 24)(5z - 2) C D 6(z2 + 4)(5z - 2) - What is the simplified form of 2x3 • x8?
CD 2 X 11 CD 8xn CE) 2x24 CD 8x24 - Which equation represents the line with slope —3 that passes through (2, 5)?
CA)y=-3x+i7 CDy=-3x+n CDy = 4x-3 ®y = x - 3 - What is the solution of the inequality 7 < -2 x + 5?
CD * > - 1 CD x< -1 ®x>l - Factor 10r4 + 30r3 + 5r2 + 15r completely. Showyour work.
CD x < 1
Mixed Review
Factor each expression.- m2 + 12 m + 36
See Lesson 8-7.- 64x2 - 144x + 81 54. 49 p2 -^4
Use a mapping diagram to determine whether each relation is a function. 4(9 See Lesson 4-6.- {(4 , 3), (3, 4), (4, 7), (7, 4 )} 56. {(-1 , 8), (1, 8), (3, 8), (5, 8)} 57. {(2 , 7), (4, -7 ), (6, 7), (8, - 7 ) }
Get Read y! To p r e p a r e f o r Lesso n 9 - 1 , d o Ex er ci ses 5 8 - 6 1.
Use the slope and y-intercept to graph each equation.- y = yX + 3 59. y = — 4x - 1 60. y = 2x - 3
See Lesson 5-3.- y = - | x + 2
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PowerAlgebra.com Lesson 8-8 Fact oring by Gro up ing^533