Adding/Subtracting Polynomials
Multiplying Polynomials
Pascal's Triangle
Dividing Polynomials
Miscellaneous
100
(5p^2-3)+(2p^2-3p^3)
-3p^3+7p^2-3
100
(8p-2)(6p+2)
48p^2+4p-4
100
(x+3)^3
x^3+9x^2+27x+27
100
(n^2+5n-50)/(n-5)
n+10
100
Write the following polynomial in standard form.
3x+2x^2-9-x^3
-x^3+2x^2+3x-9
200
(3x^4-3x)-(3x-3x^4)
6x^4-6x
200
(4p-1)^2
16p^2-8p+1
200
(2x+1)^4
16x^4+32x^3+24x^2+8x+1
200
(k^2-7k+10)/(k-1)
k-6+(4)/(k-1)
200
State the polynomial's degree, type, and leading coefficient.
2x^2-4x+3x^3+8
Degree: 3
Type: Cubic
Leading Coefficient: 3
300
(-4k^4+14+3k^2)+(-3k^4-14k^2-8)
-7k^4-11k^2+6
300
(4a+2)(6a^2-a+2)
24a^3+8a^2+6a+4
300
(3x-5)^4
81x^4-540x^3+1350x^2-1500x+625
300
(2x^2-17x-38)/(2x+3)
x-10-(8)/(2x+3)
300
Describe the end behavior of the graph of the function.
2-6x^4+3x^2
As x rightarrow -∞, y rightarrow -∞ and as x rightarrow ∞, y rightarrow -∞.
400
(14p^4+11p^2-9p^5)-(-14+5p^5-11p^2)
-14p^5+14p^4+22p^2+14
400
(m^2-7m-6)(7m^2-3m-7)
7m^4-52m^3-28m^2+67m+42
400
(2x-2y)^4
16x^4-64x^3y+96x^2y^2-64xy^3+16y^4
400
(50k^3+10k^2-35k-7)/(-4+5k)
10k^2+10k+1-(3)/(5k-4)
400
Sketch a graph for each of the following:
a. odd degree and positive leading coefficient
b. odd degree and negative leading coefficient
c. even degree and positive leading coefficient
d. even degree and negative leading coefficient
500
(4x^2+7x^3y^2)-(-6x^2-7x^3y^2-4x)-(10x+9x^2)
14x^3y^2+x^2-6x
500
(-3c+6)(c-3)(2c+1)
-6c^3+27c^2-21c-18
500
(x^4-y)^5
x^20-5x^16y+10x^12y^2-10x^8y^3+5x^4y^4-y^5
500
(2x^5-2x-1)/(x^2-2)
2x^3+4x+(6x-1)/(x^2-2)
500
What are the coefficients in Pascal's triangle in the 8th row?
1,8,28,56,70,56,28,8,1