Polynomial Introduction

Answer either all odd or all even questions on a separate sheet – show your work!

Add.

1. / (14x + 5) + (10x + 5)
/ 2. / (10x + 12) + (6x + 20)
3. / (19x2 + 12x + 12) + (7x2 + 10x + 13)
/ 4. / (17x2 + 20x + 11) + (15x2 + 11x + 17)
5. / (-15x2 - 5x + 9) + (-6x2 - 19x - 16) + (-15x2 - 14x - 13) + (9x2 - 14x + 20)
/ 6. / (-13x2 - 13x - 10) + (19x2 - 19x - 5)
7. / (4x2 - 6x + 7) + (-19x2 - 15x - 18)
/ 8. / (-13x2 - 5x - 14) + (-14x2 - 20x + 8)
9. / (20x7 - 10x6 - 9x5 - 14x4 + 18x) + (-6x6 - 12x5 - 9x4 - 9x)
/ 10. / (-20x2 + 13x - 4) + (11x2 - 13x - 10)
11. / (-14x2 - 15x - 17) + (14x2 + 9x - 17)
/ 12. / (-10x6 + 18x3 + 13) + (7x6 - 7x2 + 17)
13. / (11x2 + 5x + 6) + (18x2 + 17x + 17)
/ 14. / (4x2 - 19x + 15) + (-18x2 + 15x + 16)
15. / (-7x2 + 14x + 17) + (19x2 - 6x - 20) + (-14x2 - 18x + 20) + (20x2 + 19x + 17)
/ 16. / (-14x7 + 19x6 - 17) + (5x5 - 10x4 + 18)
17. / (9x6 - 4) + (10x5 - 15x4 + 14)
/ 18. / (-17x6 - 6x3 - 20x) + (-10x4 + 9x3 - 18)
19. / (20x2 + 15x + 13) + (-19x2 + 17x + 5)
/ 20. / (5x6 + 9x3 - 6x) + (-9x7 - 20x2 - 6x)

Subtract.

1. / (6x + 14) - (9x + 5)
/ 2. / (6x + 19) - (14x + 5)
3. / (14x2 + 13x + 12) - (7x2 + 20x + 4)
/ 4. / (19x2 + 9x + 16) - (5x2 + 12x + 7)
5. / (15x2 - 9x + 9) - (13x2 + 15x + 5) - (-16x2 + 20x + 16) - (-7x2 + 10x - 10)
/ 6. / (-9x2 - 4x - 4) - (-9x2 - 11x + 12)
7. / From 19x2 + 11x + 15 subtract -5x2 - 6x - 6
/ 8. / (-18x2 + 7x - 14) - (-20x2 + 17x - 12)
9. / Subtract -10x2 + 16x - 15 from -6x2 + 19x + 19
/ 10. / (17x5 + 19x2 + 15) - (9x7 - 11x - 17)
11. / (4x2 + 15x - 18) - (9x2 - 5x + 19) - (-5x2 + 18x - 20) - (-4x2 - 7x + 15)
/ 12. / (20x6 - 13x5) - (-7x6 + 7x5 - 20x3 - 4x2)
13. / How much greater is -12x2 - 19x + 8 than -15x2 + 17x - 18?
/ 14. / How much greater is -16x2 - 7x - 5 than 18x2 + 13x - 8?
15. / Subtract 4x4 - 14x3 + 11 from -14x6 - 9x5 - 12x2
/ 16. / From -16x2 + 13x - 13 subtract -19x2 - 11x + 12
17. / (17x2 + 7x - 14) - (-6x2 - 5x - 18)
/ 18. / (8x3 - 8x - 4) - (-16x6 + 9x3 - 6x2)
19. / (-18x2 + 4x - 16) - (15x2 + 4x - 13)
/ 20. / How much greater is -19x2 + 5x - 6 than -5x2 - 16x - 17?

Multiply.

1. / (12x)(12x + 11)
/ 2. / (9x)(4x + 2)
3. / x(9x2 + 4x + 3)
/ 4. / (2x + 7)(8x)
5. / (4x)(-8x - 9)
/ 6. / 5x(-6x - 3)
7. / (11x)(-5x3 + 8x2 + 9x + 8)
/ 8. / -9x(-3x2 + 9x + 11)
9. / (-4x)(8x - 5)
/ 10. / -3x(-4x2 - 10x + 12)
11. / (-2x)(11x3 - 10x2 + 4x + 6)
/ 12. / x(-9x2 + 7x + 4)
13. / (6x)(11x + 7)
/ 14. / -11x(2x - 3)
15. / (-7x + 2)(9x)
/ 16. / (-7x)(5x + 10)
17. / -10x(-9x - 5)
/ 18. / (-3x)(7x + 8)
19. / (-5x + 4)(6x2)
/ 20. / (11x2)(7x - 4)

Divide.

1. / 28x2
7x2
/ 2. / 42x2
48x4
3. / 24x4
32x4
/ 4. / 35x

45x
5. / 9x
6x8
/ 6. / 12x3
108x3
7. / 90x7
20x11
/ 8. / 72x10
54x2
9. / 88x
22x9
/ 10. / 21x3
-15x3
11. / -16x10
48x6
/ 12. / -49x12
42x3
13. / 42x4
-30x6
/ 14. / -15x6
-25x8
15. / -16x12
-36x7
/ 16. / 81x6
-9x6
17. / 180x

-120x
/ 18. / 14x11
-16x11
19. / -60x2
96x12
/ 20. / 54x6
90x11