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Quadratic Function Properties
Polynomial Function Properties
Factoring All Different Forms of Polynomials
The Binomial Theorem
Misc
100
Convert from factored form to standard form: f(x)=3(x-9)(x-2)
What is f(x)=3x^2-15x+18
100
Solve by long division 4x^4-15x^2-4 _____________ x-2
What is 4x^3+8x^2+x+2
100
Factor by grouping: 2x^2-xy+6xy-3y^2
What is (2x-y)(x+3y)
100
Find coefficient of x^2 in expansion of (x+2)
What is 80
100
Solve by completing the square: x^2-20x+77=-4
What is x=10 + or - the square root of 9
200
Convert from standard form to factored form: f(x)= -x^2+13x-12
What is f(x)=-1(x-1)(x-12)
200
Solve by synthetic division (3x^3-19x^2-9x-35)/(x-7)
What is 3x^2+2x+5
200
Factor Trinomial: 5x^2-14x-3
What is (x-3)(5x+1)
200
Find 2nd term in expansion of (y-4)^3
What is 48y
200
Expand (x-3)^5
What is x^5-15x^4+60x^3-270x^2+81x-243
300
Convert from vertex form to standard form: f(x)=3(x+2)^2-5
What is f(x)=3x^2+12x+7
300
Identify degree, end behaviors, and turning points 2x^4-2x^3-12x^2
What is 4th degree, up and up, and at most 3
300
Factor by difference of two squares: 25x^2-81
What is (5x+9)(5x-9)
300
Expand completely: (2x+1)^5
What is 16x^3+24n^2+12n+2
300
Multiply: (7i)(2-7i)
What is 49+14i
400
Solve for all x values: x^2-4x-12<0
What is -2<x<6
400
Find all solutions: f(x)=2x^3-11x^2+10x+8 (hint: find p's & q's)
What is x=4, x=2, x=1/2
400
Factor over complex numbers: 4x^2+25
What is (2x+5i)(2x-5i)
400
Find the 5th term in the expansion (3x-2)^2 using Pascal's Triangle
What is 240x
400
Write the equation for a parabola in vertex form given that vertex (-3,-5) and passing through (-4,-2)
What is y=7(x-3)+5
500
Simplify: (3-4i)(5+2i)
What is 23-14i
500
Form a polynomial function from its zeros: Degree 4; the zeros: 1,1 and -4i
What is x^4-2x^3+17x^2+32x+16
500
Factor difference of two cubes: -27x^3+125
What is (-3x+5)(9x^2+15x+25)
500
Expand using Pascal's Triangle: (x+2)^4
What is x^5+10x^4+40x^3+80x^2+80x+32
500
Solve by substitution: 3z=-15 z=-3x+2y+13 x=-4y+4z+12
What is x=4,y=-3,z=-5