Vocab
What is a polynomial?
A mathematical expression with 1 or more terms combined by addition, subtraction, or multiplication.
In standard form, how do you arrange terms in order?
By degree - Highest degree 1st
In order to combine like terms, like terms need to have the same _________ and _________.
Variable and Exponent
What does FOIL stand for?
First, Outside (Outer), Inside (Inner), Last
What is the A and B term in (x +3)(x-3)?
A: x
B: 3
What is a Variable? Write an example of one
Symbol representing an unknown amount (example: x,y,m,etc.)
True or False: This polynomial is NOT in standard form
8x6 + 3x4 - 6x3 - 2x + 10
False - It IS in standard form
Solve: (5x8 + 9x3) + (12x8 + 11x3)
17x8 + 20x3
Using the Box method, solve: (2c + 4)(5c - 8)
10c2 + 4c - 32
True or False: (9m + 4)(9m - 4) = 81m2 - 16
True!
What is the degree?
Arrange in Standard Form: 7x + 3x2 + 9
3x2 + 7x + 9
Solve: (-2x3 + 6x2) + (2x3 + 8x2 - 10)
14x2 - 10
Use FOIL method to solve: (10y + 2)(2y -3)
20y2 -26y -6
Solve (10p + 5)(10p - 5)
100p2 - 25
What is a binomial? Write one
Polynomial with 2 terms (example: 4x + 7)
Arrange in standard form: 3 + 12x2 -x4 - 5x3 + 4x
-x4 -5x3 + 12x2 + 4x + 3
Fill in the missing parentheses:
(2x + 8) + ( ) = 5x + 10
3x + 2
Use Box method to solve: (4x2 + 2x -1)(3x +5)
Using BINOMIAL square theorem, solve: (p +7)2
p2 + 14p +49
p * p = p2
7 * 7 = 49
p * 7 = 7p then double it 14p
What is a cubic function? What degree does it go up to?
A polynomial that goes up to a degree of 3
Add and solve, then put in Standard Form
(2x3 + 5x4 + 12) + (7x3 - 10x4 +2)
Solved: 9x3 - 5x4 + 14
Standard Form: -5x4 + 9x3 + 14
Solve:
(6x2 - 9x -2) - (4x2 - 12x - 10)
2x2 + 3x + 8
Use FOIL method to solve: (x-5)(x+2)(x+1)
x3 -2x2 -13x -10
16m3 + 8m2 +4m
4m * 4m = 16m2
2 * 2 = 4
4m * 2 = 8m
m(16m2 + 8m + 4) = 16m3 + 8m2 +4m