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Factor
Adding and Subtracting
Finding the zeroes
Anatomy of a polynomial
100
Expand: (2x)(x - 1)
2x^2 - 2x
100
Factor: x^2 - 225
(x - 15)(x + 15)
100
Add the following: (x^2 +3) + (5x^2 - 9)
6x^2 - 6
100
Find the zeroes of: (x+4)(x-21)
x= -4 and 21
100
Name the degree, variable, and coefficient of the polynomial: x^2 + 14x - 8
Degree: 2 Variable: x coefficienct: 1
200
(x-4)(x+3)
x^2 -x - 12
200
Factor: x^2 - 33 + 90
(x - 30)(x - 3)
200
Subtract the following: (3x^2 + 54) - (5x^2 + 32x + 19)
-2x^2 - 32x + 35
200
Find the zeroes of: x^2 - 22x + 120
x= 10, 12
200
Name the degree, variable, and coefficient of the following polynomial: -x^5 + 6x^3 - 43
Degree: 5 Variable: x Coefficient: -1
300
Expand: (x+8)^2
x^2 + 16x + 64
300
Factor: x^2 - 18 - 63
(x - 21) (x + 3)
300
(-64x^3 + 48x^2 - 53) + (26x^3 + 75x^2 - 83x - 38)
-38x^3 + 123x^2 - 83x - 91
300
Find the zeroes of: x^2 + 2x - 63
x= 7, -9
300
What degree is a cubic polynomial?
3
400
Expand: (2x^2 - 1)(3x + 4)
6x^3 + 8x^2 - 3x -4
400
Factor: 8x^2 + 4x
(4x)(2x+1)
400
Subtract the following: (4x^2 - 79x - 21) - (-21x^2 + 73x + 93)
25x^2 - 152x -144
400
How many 'zeroes' or solutions will a cubic polynomial have?
3
400
Name the degree, coefficient, and variable of the following polynomial: 32
Degree: N/A Coefficient: N/A Variable: N/A
500
Expand: (3x^3 + 8x - 4)(x^2 + 7x - 3)
3x^5 + 21x^4 -x^3 + 52x^2 - 52x + 12
500
Factor: 2yx^3 + 16yx
(2yx)(x^2 + 8)
500
Subtract the following: (5x^2 + 98x - 54) - (12x^3 + 3x^2 -32x - 62)
-12x^3 + 2x^2 + 130x + 8
500
When you find the zeroes of a polynomial, what does that tell you about the polynomial?
The zeroes are the solution to the polynomial. It tells you where the polynomial crosses the x-axis when graphed.
500
What is one difference between a linear and a quadratic polynomial?
Linear has a degree of 1 and quadratic has a degree of 2. Linear has one solution and quadratic has two.