Polynomials
Simplify: (2x2-3)+(4x2+7)
6x2+4
-x-5
3x(x+2)
3x2+6x
x2 • x5
x7
Linear or Exponential? y=7x+40
Linear
Simplify: (8x-4)+(10x+8)
18x+4
Simplify: (3x3+2x)-(x3-5x)
2x3+7x
(x+2)(x+6)
x2+8x+12
34 • 32
36
What is the common difference in this pattern:
3,5,7,9,11...
2
Simplify: (5x2+6x-3)+(3x2-2x+8)
8x2+4x+5
Simplify: (7x2-3x+4)-(3x2+4x-5)
4x2-7x+9
(3x+1)(x+3)
3x2+10x+3
z3 • z
z4
Find the common ratio of this pattern:
3,9,27,81
Simplify: (-6x2-3x+8)+(-2x2+5x-4)
-8x2+2x+4
Simplify: (8x2-3x+4)-(-2x2+7x-9)
10x2-10x+13
(4x+2)(2x+1)
8x2+8x+2
42 • 43
45
Write an equation to represent this scenario: Courtney starts with $20 in her bank account. She deposits $10 per week into her account.
y=10x+20
Simplify: (-4x4-8x2+4)+(8x4+2x-8)
4x4-8x2+2x-4
Simplify: (7x3-8x+5)-(5x2+2x+3)
7x3-5x2-10x+2
(2x+4)(5x-3)
10x2+14x-12
23 • 26
29
Write an equation to represent this scenario: Cody is monitoring a bee colony. The bee colony starts with 50 bees and the number of bees triples every week.
y=50 • 3x