Polynomial Operations
(Add and Subtract)
(Add and Subtract)
Add the following polynomials:
4x2 - 18x + 3 and 7x2 + 12x - 4
11x2 - 6x - 1
Solve for x: 15x = 45
x = 3
Factor!
x2 + 3x - 10
(x + 5) (x - 2)
4,9,14,19, …
Arithmetic
d = 5
Is it a function?
{(4, 4), (5, 5), (6, 6), (7, 7)}
Yes
Subtract the following polynomials:
(9x2 + 3x – 1) - (4x2 – 6x + 7)
5x2 + 9x - 8
Solve for x: x - 10 = 15
x = 25
Factor!
5x2 – 15x
5x(x - 3)
3,9,27,81, …
Geometric
r = 3
Is it a function?
{1, 2), (1, 3), (1, 4), (1, 5)}
No
When 6x2 + 2x – 3 is added to 4x2 – 8x + 7, the sum is?
10x2 - 6x + 4
Solve for x: 14x – 3 = 8x + 33
x = 6
Factor!
x4 - 100
(x2 + 10) (x2 - 10)
44, 38, 32, 26, …
Arithmetic
d = -6
If f(x) = x3 - 3x, find f(2).
2
When 9x2 + 3x – 1 is added to 4x2 – 6x + 7, the sum is?
13x2 - 3x + 6
Solve for x: 7x – 9 = 5x + 3
Factor COMPLETELY!
2x2 - 18
2 (x2 - 9)
2 (x + 3) (x - 3)
15, 12, 9, 6,
Arithmetic
d = -3
If g(x) = x2 + 2x, find g(-5).
15
When 2x2 + 3x – 1 is subtracted from x2 – 6x - 3, the difference is?
-x2 - 9x - 2
Solve for x: 7x – 3 = 5x + 31
x = 17
Factor COMPLETELY!
x3 - x2 - 6x
x (x2 - x - 6)
x (x - 3) (x + 2)
3,-6,12,-24, …
Geometric
r = -2
How can you tell if a graph is a function?
It passes the vertical line test (VLT)