11.

12.

13.

14.

15.

16.

17.

18.

Divide a + a® b2 + a1 b2 + a2 b6 + b3,

by a1 + a3b + a2b2 + ab3 + b1.

Divide 1 − 5 + 10x2 – 10x3 +5x1 − ∞3, by1 −3x+3x2 – x23.

Divide a1 + b2 + c1 −2(a2b2+a2c2+b2c2), bya2+2ab+b2- c3. Divide a +a+b2 - 2 ac2 - a2b1 + a2c* - b2 - 2 b1 c2 – b2c1, by a2b2- c2.

Divide x+6x5y + 15 x* y2 + 20x3y3 + 15x2 y2+6xy3 +yo, by x2+2xy + y2.

Divide x + 7y+21x3y2 +35x*y3 + 35x3y*+21x2y*+7xy6 + y2, by x3 + 3x2y + 3x y2 + y3.

Divide x + 3x3⁄4y3 + 3x3y‡ + y, by x3 + y3.

Divide x − 4xy3 + 6x3⁄4y‡ — 4x3y + y3, by x‡−2x*y*+y3.

22.

23.

24.

Divide 189a-91 a3b + 62 a2b2 - 13ab35b*,
by 27a2 - 13ab + 5b2.

Divide 24a - 10a3b – 8a2b2 + 10ab3 — 4b1,

Let x = 1;

.. 2 = 1 − 1 + 1 − 1 + ......ad infinitum.

GREATEST COMMON MEASURE.

1.

Find the Greatest Common Measure of a2
and a +2ab+b2.

2.

Of a3 + 3a2b + 3ab2 + b3, and a2 + 3ab + 2b2.

8.

9.

12.

Of 6x3- 11x2 + 5x 3, and 9x3- 9x2 + 5x − 2.

-

Of xax3-9a2x2 + 11 a3x - 4a1,

and x1 - a x3 3a2x2 + 5a3x — 2 a1.

Of x1 - px3 + (q − 1)x2 + px - q,

and a1

q x3 + (p − 1) x2 + qx − p.

Of 3x2 - (4a+2b) x + 2 ab + a3,

and 3 (2a + b) x2 + (2 ab + a2)x – a2b.

3xy-6x+2y, and 6x1 - 4a3 - 3xy + 2y3.

Of 48 x3 + 8 x2 + 31 x + 15, and 24x3 + 22x2 + 17x + 5.

6

2

Of x + x3y — x*y2 - y3, and x - x2 y − x2y2 + y3.

Of a3 + (a2 + a) y + y2, and a* — a2 (y2 − y) − y3.

2x3 + 3x2 - 2x + 1.

10x3 + 15 – 8, and a1

and 20x6 - 12x2 + 16xa − 15x3 + 14x2 15x + 4.

22.

23.

24.

8, and x2+7x + 12.

Of 6x+4x2y, 2ax - 8bx'y', and 4ca + 12dx1y.

Of a3 + 5a2 x + 7 a x2 + 3 x3, a3 + 3 a2 x а x2 - 3x3,

26.

Of x1 — x23 — 3x2 + 5x − 2, and x3 – 2x1 − x3 + 5x2 − 4x+1.

Of e2o a3 + e2x — a3 – 1, and e2* a2 + 2e* a2 - 2 e* + a2 − 1.

1.

LEAST COMMON MULTIPLE.

Find the Least Common Multiple of x2 – 1,

Of x2+5x+ 4, x2 + 2 x 8, and x2 + 7x + 12.

6.

Of 4(1), 8(1 - x), and 8(1 + x).

8.

and a1 2003 + 2x2

x3

Of x3- (4a + b) x2 + (3a2 + 4ab) x − 3 a3b,

3

and a (a + b) x2 - (30 a2 - ab) x + 30a3b.

Of ∞3 + x + x3 + x2 + x + 1, and a x2+x3 − x2 + x − 1.

Of a1 - 3 a3b+4a2 b2 − 3 a b3 + b2, and a2 + a3b+ab3 + ba.

Of 30a2x-5a3 3 + 5a3x, and 9ax3- a3x + 2a1.

10.

11.

12.

13.

Of 6x3- 11x2 + 5x 3, and 93-9x2+5x

26x+8, and 73 - 4x2 - 21 x + 12.

1), x2 + 1, (x + 1)2, and a3 + 1.

- 2.