Definitions
What does Monomial mean?
1 term
Simplify 2(x+1)
2x+2
Simplify: (x+6)(x-4)
x2+6x-4x-24=
x2+2x-24
Simplify: 4(x3+x2+10)
4x3+4x2+40
Solve the riddle: You live in a one-story house made entirely of redwood. What color are the stairs?
It's a one-story house...there are no stairs.
What does Binomial Mean?
2 terms
Simplify: x(x-3)
Simplify: (2x+3)(x+5)
2x2+10x+3x+15=
2x2+13x+15
Simplify: x(7x2+3x-9)
7x3+3x2-9x
Solve the riddle: I have hands, but I cannot shake your hand. I have a face, but I cannot smile at you. What am I?
A clock
What does Trinomial mean?
3 terms
Simplify: 5x(x2+10x)
5x3+50x2
Simplify:(3x-2)(5x+6)
15x2+18x-10x-12=
15x2+8x-12
Simplify: 3x3(5x2-6x-7)
15x5-18x4-21x3
Solve the riddle: The more you take, the more you leave behind. What am I?
Footsteps
What does polynomial mean? (Hint: think what does poly mean?)
Several terms
Simplify: 7x(x4+5x3)
(Hint: Multiply your front numbers and add your exponents together))
7x5+35x4
Simplify: (x2-8)(2x-1)
2x3-1x2-16x+8
OR
2x3-x2-16x+8
NO LIKE TERMS TO COMBINE
Simplify: (x-8)(x3+2x-1)
**200 pts extra if right
x4+2x2-1x-8x3-16x+8=
x4-8x3+2x2-17x+8
Your name
What do you call a term that does not have a variable attached to it? (Hint: it starts with a "C")
Constant
Simplify: 4x4(5x5+2x3)
(Hint: Multiply your front numbers and add your exponents together)
20x9+8x7
Simplify: (20x5+x3)(5x5+2x3)
(Hint: Multiply your numbers in the front and add your exponents)
**300 extra points if right
100x10+40x8+5x8+2x6=
100x10+45x8+2x6
(5x2+2x)(6x3+8x2+3x)
**300 pts extra if right
30x5+40x4+15x3+12x4+16x3+6x2=
30x5+52x4+31x3+6x2
Solve the riddle: I’m not alive, but I can grow. I don’t have lungs, but I need air. What am I?
A fire