Simplify.- 12 p 2 + 8 p 2
- x3 - 9x3
^ See Problem 2.- 2msn3 + 9m3n3 /\ 8. 8 w 2x + w 2x 19.3f4+ llf 4
- 30 v4w 3 - 12 v4w3 22. 7x2 - 2x2 23. 5 bcA - 13 bcA
Write each polynomial in standard form. Then name each polynomial based
on its degree and number of terms.See Problem 3.- 5 y - 2y2
- 6x2 - 13x2 - 4x + 4
Simplify.- 4w~5
- 9 w + 2
- (5x2 + 3 ) + (15x2 + 2)
25. —2q + 7
28. c + 8 c3 - 3c7
31. 6x2 + 7- 3x2 + 1
26. x2 + 4 - 3x
29. 3z4 - 5z - 2 z2
- 3x2 + 1
See Problem 4.- 2k2- k + 3
- 5k2 + 3k - 7
- (2 g 4 - 3 g + 9 ) + ( - g 3 + 12g)
- Education The n u m b e r of stu d en ts at East High School an d th e n u m b e r of
students at C entral High School over a 10-year p erio d can be m od eled by the
following polynomials.
East High School: — l l x 2 + 133x + 1200
Central High School: — 7x2 + 95x + 1 1 0 0
In each polynom ial, x = 0 corresponds to th e first y ear in th e 10-year period. W hat
polynom ial m odels th e total n u m b e r of stu d en ts at b o th high schools?
Simplify.- 5n-2
— ( 3 n + 8 ) - (14h4 + 3h3) - (9h4 + 2h3)
See Problem 5.- 6x3 + 17
— ( 4 x 3 + 9 )
38. 2c2 + 7 c- 1- ( c 2 - 10c + 4 )
- (- 61 c 4 + w2) - (-2w3 + 4w2 - w)
Apply 41. Think About a Plan The perim eter of a triangular park is 16x + 3.
W hat is the m issing length?- W hat is th e sum of the two given side lengths?
- W hat operation should you use to find th e rem aining side length?
- Geometry The p erim e te r of a trapezoid is 39a — 7. Three sides
have the following lengths: 9a, 5a + 1, an d 17a - 6. W hat is the
length of the fourth side? - Error Analysis D escribe an d correct th e error in finding th e difference of
th e polynom ials.
5x - 1490 Ch ap t er 8 Polynomials and Factoring