Factoring
Use the Zero Product Property to solve the following quadratic equation. (x - 7)(x + 2) = 0
x = 7 x = -2
Solve the following quadratic equation by using square roots: x2 = 4
x = 2 x = -2
Simplify the following:
(2+4i) + (5+3i)
7+7i
What is the quadratic formula?
x = -b +- sqrt(b2 - 4ac) /(2a)
Find the vertex of y = -(x-3)2+6
(3,6)
Factor the following expression: x2+3x+2
(x+2)(x+1)
Solve the following quadratic equation by using square roots: x2 = 121
+11 or -11
Simplify the following:
(5-3i) - (2-8i)
3+5i
Solve the following quadratic equation by using the quadratic formula: x2 + 6x + 5 = 0
x = -1 x = -5
Find the vertex of y = -x2+8x-15
(4, 1)
Factor the following expression: x2 - 6x + 5
(x-5)(x-1)
Solve the following quadratic equation by using square roots: 4x2 = 400
x = 10 x = -10
Simplify the following:
6i(3-7i)
18i + 42
Use the discriminant (b2-4ac) to state how many real solutions the following equation has:
2x2 - 7x +4 = 0
Discriminant = 17
2 real solutions
Find the vertex of f(x)=4x2+16x-21
(2, 27)
Solve the following quadratic equation by factoring. x2 - 6x - 27 = 0
x = 9 x = -3
Solve the following quadratic equation by using square roots: x2 -9 = -8
1 or -1
Simplify the following:
(2-3i)(4+2i)
14-8i
Solve the following quadratic equation by using the quadratic formula: x2 + 9x + 5 = 0
x = [-9 +- SQRT(61)]/2
y = -(x-3)2+5
Solve the following quadratic equation by factoring. x2 - 5x - 36 = 0
x = 9 x = -4
Solve the following quadratic equation by using square roots: 5x2 + 3 = -122
x = 5i x = -5i
Simplify the following:
5/(3-2i)
(15+10i)/13
Solve the following quadratic equation by using the quadratic formula: x2 - 2x +17 = 0
x = 1+4i
x = 1-4i
Write the following equation in Vertex Form:y
y = x2+6x-14
y = (x-3)2+13