Solve each equation by factoring.
p2 + -2p - 10 = 5
5, -3
4x2 + 25 = 125
x= 5 or x = -5
m2 − 5m − 14 = 0
{7, −2}
a2 + 14a - 51 = 0
{3, -17}
Refer to the quadratic function given on another tab. Describe the domain and range of the function
Domain: All Real Numbers
Range: y < or equal to 1
9n2 + 39n = -36
-4/3, -3
(4x + 1)2 - 16 = 0
x = 3/4 or x = -5/4
b2 − 4b + 4 = 0
{2}
x2 − 12x + 11 = 0
{11, 1}
Refer to the quadratic function given on another tab. Describe the domain and range of the function.
Name the vertex, axis of symmetry, y-intercept, and zeroes of the function.
Vertex: (-2, 1)
Axis of Sym: x=-2
Y-intercept: (0,-3)
Zeroes: x= {-3, -1}
7r2 + 84 = -49r
-4, -3
34 = (a - 2)2 - 2
a = 8 or a = -4
2x2 − 3x − 5 = 0
{5/2 , −1}
n2 = 18n + 40
{20, −2}
Refer to the quadratic function given on another tab.
Describe the intervals of increase and decrease, and where the function is positive and negative.
Increase: x < -2
Decrease: x >-2
Positive: -3 < x < -1
Negative: x<-3 and x>-1
3v2 + 7v = 40
8/3, -5
0 = 3(x + 7)2 - 24
x = -7 + 2 square root of 2
or
x = -7 - 2 square root of 2
9n2 = 4 + 7n
{ 7 + square root of 193 / 18, 7 - square root of 193 / 18}
x2 − 10x + 26 = 8
{5 + square root 7, 5 square root − 7}
Refer to the quadratic function given on another tab.
Describe the extrema, max/min values, and end behavior of the function
Extrema: Maximum
Max: y = 1
End behavior: As x->+ and - infinity, y-> - infinity