J Lesso n Ch eck^
Do you know HOW?
Divide.
1. ( 2 0 m 3 + 1 0 m 2 - 5 m — 3 ) -t- 5 m 2
- ( 2 0 c 2 + 23c — 7) -=■ (c — 1)
- ( 2 5 n 3 - 11 n + 4 ) -j- ( 5n + 4)
- (-1 6 a - 15 + 15a2) ^ (3 + 5a)
MATHEMATICAL
Do you UNDERSTAND? PRACTICES
- Vocabulary How is dividing polynom ials like dividing
real n um bers? How is it different?
6. Writing W hat are th e steps th a t you repeat w hen
perform ing polynom ial long division?
- Reasoning How w ould you rew rite 1 - x 4 before
dividing it by x - 1?
Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses
Practice Divide.
8. ( x 6 - x5 + x4) -r- x2
- (9c4 + 6c3 - c2) h- 3c2
- (8q2 - 32q) + 2q2
- (6x4 - 5x 3 + 6x2) - 7 - 2x2
- {n2 - 5n + 4) -r- (n - 4)
- (3x2 — lOx + 3) (x — 3)
- (5£2 — 5 0 0 ) - t - ( f + 1 0 )
- (3b3 - 10b2 + 4) - (3b - 1)
MATHEMATICAL
PRACTICES
See Problems 1,2, and 3.
- ( 1 2 x 8 - 8 x 3) h- 4x4
- ( n 5 - 1 8 a 4 + 3n3) n3
1 3. ( 7 £5 + 14£4 - 2 8 £ 3 + 3 512) -t- It2
- ( 2 1 f 5 + 3£4 — lit3) -r- 7t3
- (y2 - j / + 2)-(y + 2)
- ( —4<y 2 - 22 q + 12 ) ( 2 q + 1 )
- (2m 3 + 3 m - 15) h- (m - 1)
- ( c 3 - c 2 - 1 ) -7- ( c — 1 )
Write an expression for the missing dimension in each figure.
24.
w = r - 5
25.
A = 2c3 + 16
b = c + 2
Divide.
- (49 + 16b + 2b2) - (2b + 4)
- (3 9m + 14 + 3m2) -h ( 9 + 3m)
- ( - 1 3 x + 6 x 3 - 6 - x 2) -T- ( 3 x - 5)
- (6x4 + 4X3 - x2) h- ( 6 + 2x)
- (7b + 16b3) -;- ( — 1 + 8b)
4^ See Problem 4.
- (4a2 - 6 + 3a) -r- (7 + 4a)
29. (4t + 2t2 - 9) ^ ( - 6 + 2t)
31. (6 - q + 8q3 - 4^2) -t- (2q - 2)
33. (12c3 + 11c2 - 15c + 8) ^ ( - 4 + 3c)
35. (4y + 9y3 - 7) - (-5 + 3y)
m’Jim -.)rni»f-j•]r=Kn«] 11 ■■ | L esso n 11-3 Dividing Polynomials^681
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