Factoring
The factors and solutions to the quadratic:
3x^2-18x
What is
3x(x-6); x={0,6}
The 3-step process for completing the square.
What is "Find b, take half, and square it" ?
The quadratic formula
What is
x=(-b+-sqrt(b^2-4ac))/(2a)
The solution set to the quadratic inequality:
3x^2-13x < 10
What is
(-2/3,5)
The description for the Rational Roots Test
What is
p/q
where p represents all of the factors of the constant and q represents all of the factors of the leading coefficient?
The factors and solutions to the quadratic:
x^2-9-36
What is
(x-12)(x+3) ; x={-3, 12}
The values of
b, b/2, and (b/2)^2 when, x^2-8x+5
What is
b=-8 , b/2=-4, (b/2)^2 = 16
The result when the discriminant is positive and a perfect square
What are 2 real, rational solutions?
The solution set to the quadratic inequality:
3x^2-x-10>=4
What is
(-oo,-2] U [7/3,oo)
All possible roots that can be found using the Rational Roots Test for the quadratic:
x^2-3x+10
What is
p/q = +-1,+-2,+-5,+-10
The factors and solutions to the quadratic:
4x^2-25
What is
(2x+5)(2x-5) ; x={-5/2,5/2}
The solution to the following quadratic:
(x-3)^2=8
What is
x=3+-2sqrt(2)
The number and type of solutions and discriminant form the quadratic:
2x^2-3x+5
What are 2 complex solutions for the discriminant -31
The solution(s) to the following system of equations:
y=x-1 ; y=x^2-3
What are
(-1,-2) and (2,1)
All possible roots that can be found using the Rational Roots Test for the quadratic:
2x^2+5x-14
What is
p/q=+-1, +-1/2, +-2, +-7, +-7/2, +-14
The factors and solutions to the quadratic:
3x^2+11x-4
What is
(3x-1)(x+4) ; x={-4,1/3}
The solutions to the quadratic found by completing the square:
x^2-4x+5=-3
What is
x=2+-2i
The solution(s) to the quadratic found by using the quadratic formula:
3x^2-6x+6=3
What is
x=1
The solution(s) to the following system of equations:
y=x^2+3x+1 ; y=-x-3
What is
(-2,-1)
The factors and solutions to the polynomial:
x^3-2x^2-5x+6=0
What is
(x-1)(x+2)(x-3) ; x={-2, 1,3}
The factors and solutions to the quadratic:
-4x^2-30x-14
What is
-2(2x+1)(x+7) ; x={-7,-1/2}
The solutions to the quadratic found by completing the square:
2x^2-10x+8=0
What is
x={1,4}
The solution(s) to the quadratic found by using the quadratic formula:
2x^2+6x+2=0
What is
x=(-3+-sqrt(5))/2
The solution(s) to the following system of equations:
y=2x^2+x-3 ; y=2x-5
What is
(1/4+-(isqrt(15))/4, -9/2+-(isqrt(15))/4)
The factors and solutions to the polynomial:
2x^4+9x^3-12x^2-29x+30
What is
(x-1)(x+2)(x+5)(2x-3) ; x={-5,-2,1,3/2}