3.1: Polynomials
3.2: Multiplying Polynomials
3.3: Dividing Polynomials
3.4: Factoring Polynomials
Grab Bag
100
What is the degree of the following:
3xyz^2
4
100
Multiply:
a(3a^2+b)
3a^3+ab
100
Divide:
(x^2-5x-6)/(x+4)
x-9+30/(x+4)
100
Determine if the given binomial is a factor of the given polynomial:
(x+5); P(x)= x^2+10x+25
Factor!
100
What is the state capitol of North Dakota?
Bismarck!
200
What is the degree of the polynomial:
3x^3+4x-7
3
200
Multiply:
-2ab(3a^2+2ab-3b^2)
-6a^3b-4a^2b^2+6ab^3
200
Divide:
(-3x^2+x-2)/(x-3)
-3x-8-26/(x-3)
200
Factor by grouping:
x^3-2x^2-16x+32
(x-4)(x+4)(x-2)
200
What is the most common spoken language in China?
Mandarin!
300
Given the following polynomial: Write it in standard form, list the degree, leading coefficient, number of terms, and name the function:
-3x^2-4x^3-1+2x
Degree 3, LC = -4, 4 terms, cubic
Standard from:
-4x^3-3x^2+2x-1
300
Multiply:
(2x+2y)(3x^2-y^2)
6x^3-2xy^2+6x^2y-2y^3
300
Divide:
(4x^3+x^2-3)/(x-2)
4x^2+9x+19+33/(x-2)
300
Is the following binomial a factor of the polynomial?
(x+10);P(x)=(x^2-6x+12)
Not a factor!
300
How many Super Bowls have the Steelers won?
6
400
Add the following functions:
(4x^4+3x^2-5x+9)+(5x^3-8x^2+7x+12)
4x^4+5x^3-5x^2+2x+21
400
Multiply:
(4x^2-3x+1)(x-2)
4x^3-11x^2+7x-2
400
Evaluate the function for the given value using synthetic substitution:
P(x)=3x^2-4x-1; x=6
P(6)=83
400
Factor:
x^3-8
(x-2)(x^2+2x+4)
400
Where do the Washington Commanders play?
Summersfield, Maryland
500
Subtract the polynomials:
(3x^3-4x^2+5x-7)-(-2x^3+3x^2+4x-8)
5x^3-7x^2+x+1
500
Expand using Pascal's Triangle:
(x+4)^3
x^3+12x^2+48x+64
500
Divide:
(8x^3-6x^2-5x+3)/(x-1)
8x^2+2x-3
500
Factor:
8x^3+64
(2x+4)(4x^2-8x+16)
500
Who was the 41st President of the United States?
George H. W. Bush
