Parts of a Polynomial
How many terms are in this polynomial?
2x2 + 7x + 6
3
Write an example of a monomial
example: 7x
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 the variable in this polynomial?
2y2 + 4y - 3
y
Write an example of a binomial
example: 2x + 1
Solve: (10m + 2) + (4m -1)
14m + 1
Using the distributive method, solve: 4(2c2 + 5c - 8)
8c2 + 20c - 32
True or False: (9m + 4)(9m - 4) = 81m2 - 16
True!
What is the constant in this polynomial?
8x + 6x2 - 1
-1
Write an example of a linear polynomial
example: 6x or 6x + 1
Solve: (6m + 8) - (3m + 5)
3m - 3
Use Box method to solve: (10y + 2)(2y -3)
20y2 -26y -6
Solve (10p + 5)(10p - 5)
100p2 - 25
What is the degree in this polynomial?
3x + 7x2 - x3 + 4
3
Write a quadratic polynomial
6x2 or 6x2 + 2x + 1
Fill in the missing parentheses:
(2x + 8) + ( ) = 5x + 10
3x + 2
Use FOIL method to solve: (4x2 - 1)(3x +5)
12x3 + 20x2 - 3x -5
Using BINOMIAL square theorem, solve: (p +7)2
p2 + 14p +49
What is the coefficient of y2 in this polynomial?
y + 4 + 7y3 + 9y2
Write a cubic polynomial
example: 6x3 or 6x3 + 4x2 - x + 3
Solve:
(6x2 + 9x + 2) - (4x2 + 4x - 10)
2x2 + 5x + 12
Use Box method to solve: (4x2 + 2x -1)(3x +5)
12x3 + 26x2 + 7x - 5
Using BINOMIAL square theorem, solve: (4x + 3)2
16x2 + 24x + 9