- Reasoning The GCF of two n u m b ers p a n d q is 7. W hat is the GCF of p2 and q2?
Justify your answer.
i5) Challenge 42. a. Geometry How m any sides does th e polygon have? How m any of its
diagonals com e from one vertex?
b. A polygon has n sides. How m any diagonals will it have from one vertex?
c. The n u m b e r of diagonals from all th e vertices is | [n- 3). Write this
polynom ial in stan d ard form.
d. A polygon has 8 sides. How m any diagonals does it have? - Manufacturing The diagram shows a cube of m etal w ith a cylinder
cut out of it. The form ula for th e volum e of a cylinder is V = irr2h,
w here r is th e radius an d h is th e height.
a. Write a form ula for th e volum e of th e cube in term s of s.
b. Write a form ula for th e volum e of th e cylinder in term s of s.
c. Write a form ula in term s of s for the volum e V of the m etal left
after th e cylinder has b e e n removed.
d. Factor your form ula from p a rt (c).
e. Find Vin cubic inches for s = 15 in. Use v = 3.14.
^-------4s-/r^1 i^1 /
48 in,! ; |
I - - - J4s//
/ //A,^SAT/ACTSt a n d a r d i ze d Test Pr ep
- Simplify th e p ro d u ct 4x(5x2 + 3x + 7). W hat is th e coefficient of th e x2-term?
- W hat is th e slope of th e line th a t passes th rough CD?
- W hat is th e solution of the eq u a tio n Ix - 11 = 3?
- Simplify th e p ro d u ct 8x3(2x2). W hat is th e exponent?
SRI D DED RESPON SE
- The expression 9x3 - 15x can be factored as ax(3x2 - 5).
W hat is the value of a?
Mixed Review
\Simplify each sum or difference.- (5x2 + 4x - 2) + (3x2 + 7)
- (3x3 - 2x) - (8x3 + 4x)
See Lesson- (4x4 - 3x2 - 1) + (3x4 + 6x2)
- (7x4 + 3x3 - 5x + 1) - (x3 + 8 x 2 - 5x - 3)
8 - 1.Solve each inequality for y. Then graph the inequality. See Lesson- 4x-5ysl0 54. 7x-2y<8 55. -3 y -x > 9
Get Read y! To p r e p a r e fo r Lesson 8-3, do Exercises 56-58.
Use the Distributive Property to simplify each expression. ^ See Lesson- 8(x - 5) 57. -3(w + 4) 58. 0.25(6c + 16)
6-5.1-7.496 Ch ap t er 8 Polynomials and Factoring