Factor By Grouping
Polynomials
Multiplication of Polynomials
Completing the Square
100
Factor by grouping: 3x+15y+5xy+25y^2
(5y+3)(x+5y)
100
Classify this polynomial: 12xy
Monomial
100
Simplify: x^2-x-12/x^-16 * x^2+8x+16/x^2-x-20
(x-3)/(x-5)
100
Solve for x using completing the square: x^2+6x+7=0
-3+root2, -3-root2
200
What is the degree of x^4-5y^7+13x^9y?
10
200
Simlpify: (x+4)(2x-7)-(3x+2)(x+3)
-x^2+12x-22
200
Solve for x using CTS: 4x^2+16x+13=0
-2+root3/2, -2-root3/2
300
Factor by grouping: 16xy-20zx+8y-10z
(4y-5z)(4x+2)
300
What is the degree of this polynomial when fully simplified? (3x+5)(7x^3-4)
4
300
Simplify: x^2-x-12/x^2-16 * 16x^2-49/4x^2+5x-21
4x+7/x+4
300
Solve for x using CTS x^2-2x-4=0
1+root5, 1-root5
400
Factor by grouping: y^3y^2-25
(y+3)(y-2)(y-5)
400
What is the leading coefficient of this polynomial when fully simplified? (3y-x^2)(x^3y^5-4)
-1
400
4x^2+8x+4/2x^2-5x-6 + 3x^2+16x+16/x^2+x-7
5x+6/x-3
400
x^2-10x+32=19
5+2root3, 5-2root3
500
Factor by grouping: 5x^3+x^2+20x-16
(5x-4)(x+1)(x-4)
500
What is the degreee and leading coefficient of this polynomial once fully simplified? (12x^7y-17z^3)(3z^4y^5+7x)
36, 17
500
Simplify: 15x^2-3x-28/25x^2-16 - 4x^2-5x-6/20x^2-x-12
2x-5/5x-4
500
Solve using CTS: 4x^2-24x+28=0
3+root2, 3-root2
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