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
Solve the following quadratic equation by completing the square:
x2 + 6x = -8
x = -2 x = -4
x = -b +- sqrt(b2 - 4ac) /(2a)
Find the vertex of
f(x)=x2-8x+15
(4, -1)
Solve the following quadratic equation by factoring.
x2+3x+2 = 0
x = -2 x = -1
Solve the following quadratic equation by using square roots:
x2 = 121
+11 or -11
Solve the following quadratic equation by completing the square:
x2 - 6x = -5
x = 1 x = 5
Solve the following quadratic equation by using the quadratic formula:
x2 + 6x + 5 = 0
x = -1 x = -5
Find the vertex of
f(x)=x2-4x
(2, -4)
Solve the following quadratic equation by factoring.
x2 - 6x + 5 = 0
x = 5 x = 1
Solve the following quadratic equation by using square roots:
4x2 = 400
x = 10 x = -10
Solve the following quadratic equation by completing the square:
x2 - 2x - 24 = 0
x = -4 x = 6
Solve the following quadratic equation by using the quadratic formula:
x2 - 9x + 20 = 0
x = 5 x = 4
Find the vertex of
f(x)=x2+8x+18
(-4, 2)
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
Solve the following quadratic equation by completing the square:
x2 + 10x +16 = 0
x = -2 x = -8
Solve the following quadratic equation by using the quadratic formula:
2x2 + 9x + 4 = 0
x = -1/2 x = -4
Convert the following quadratics from standard form to vertex form.
f(x)=x2+4x+3
(-2, -1)
Solve the following quadratic equation by factoring.
2x2 - 5x - 3 = 0
x = -1/2 x = 3
Solve the following quadratic equation by using square roots:
5x2 + 3 = 128
x = 5 x = -5
Solve the following quadratic equation by completing the square:
2x2 - 8x = 10
x = 5 x = -1
Solve the following quadratic equation by using the quadratic formula:
4x2 - 17x - 15 = 0
x = 5 x = -3/4
Find the vertex of
y=x2-2x+5
(1, 4)