Algebra 1 Common Core Student Edition, Grade 8-9

(Marvins-Underground-K-12) #1

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


  1. ( 2 0 c 2 + 23c — 7) -=■ (c — 1)

  2. ( 2 5 n 3 - 11 n + 4 ) -j- ( 5n + 4)

  3. (-1 6 a - 15 + 15a2) ^ (3 + 5a)


MATHEMATICAL
Do you UNDERSTAND? PRACTICES


  1. 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?


  1. 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


  1. (9c4 + 6c3 - c2) h- 3c2

  2. (8q2 - 32q) + 2q2

  3. (6x4 - 5x 3 + 6x2) - 7 - 2x2

  4. {n2 - 5n + 4) -r- (n - 4)

  5. (3x2 — lOx + 3) (x — 3)

  6. (5£2 — 5 0 0 ) - t - ( f + 1 0 )

  7. (3b3 - 10b2 + 4) - (3b - 1)


MATHEMATICAL
PRACTICES

See Problems 1,2, and 3.


  1. ( 1 2 x 8 - 8 x 3) h- 4x4

  2. ( n 5 - 1 8 a 4 + 3n3) n3


1 3. ( 7 £5 + 14£4 - 2 8 £ 3 + 3 512) -t- It2


  1. ( 2 1 f 5 + 3£4 — lit3) -r- 7t3

  2. (y2 - j / + 2)-(y + 2)

  3. ( —4<y 2 - 22 q + 12 ) ( 2 q + 1 )

  4. (2m 3 + 3 m - 15) h- (m - 1)

  5. ( 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.


  1. (49 + 16b + 2b2) - (2b + 4)

  2. (3 9m + 14 + 3m2) -h ( 9 + 3m)

  3. ( - 1 3 x + 6 x 3 - 6 - x 2) -T- ( 3 x - 5)

  4. (6x4 + 4X3 - x2) h- ( 6 + 2x)

  5. (7b + 16b3) -;- ( — 1 + 8b)


4^ See Problem 4.


  1. (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
" ^ ---------------------------------------------
Free download pdf