Classifying Polynomials
Operations of Polynomials need to adjust
Division
Binomial Expansion
Everything Factoring
100
x^3+4x +8
Cubic Trinomial
100
(2x+2)(x+2)
2x²+6x+4
100
Synthetic Division
x3-4x2+2x-3 / x+2
x^2+2x-2+1/(x+2)
100
What are the coefficients that you get from pascal's triangle for a 2nd degree polynomial?
1,2,1
100
x^2-25= 0
x = 5 and x= -5
200
4x + 5
Linear Binomial
200
(x-2)(x+2)
x²-4
200
Synthetic Division
3x^3-2x^2+6x-3
3x^2-11x+39-120/(x+3)
200
What are the coefficients that you get from pascal's triangle for a 4th degree polynomial?
1,4,6,4,1
200
x^3-8 = 0
-1 - sqrt(3) i
-1 + sqrt (3) i and x = 2
300
x^2+5x +6
Quadratic trinomial
300
(12x-12)(x-1)
12x²-24x+12
300
3x3+5x2-7x+5 / 3x+2
300
(x+3)^3
x^3+9x^2+27x+27
300
2x^2 - 5x -12 =0
x = -3/2 and x = 4
400
x^5+4x^3 +6x^2-8x+5
Quintic with 5 Terms
400
(6x²-4)²
36x⁴ - 48x² +16
400
27x3+64 / 3x+4
9x^2-12x+16
400
(x-2)^4
x^4−8x^3+24x^2−32x+16
400
2x^3+7x^2+2x+7
(x^2+1)(2x+7)
500
4
Constant Monomial
500
2x²(2x²-5x+2)
4x⁴-10x³+4x²
500
3x3+4x+11 / x2-3x+2
3x+9+(25x-7)/(x^2-3x+2)
500
(2x-3)^5
32x^5−240x^4+720x^3−1080x^2+810x−243
500
20x^2+30x-4xy-6y
2(2x+3)(5x-y)