Simplifying
Factoring
Solving Quadratic Equations
Vertex & Graphs
100
Subtract the polynomials.
(-8r^2+7r+6)-(6r^2+11r-4)
-14r^2-4r+10
100
Factor:
w^2+12w+27
(w+3)(w+9)
100
Solve:
x^2-4x=0
x=0, x=4
100
Does the function have a minimum or maximum? Give the value.
Maximum value of -4
200
Multipy:
(5x+6)(x+4)
5x^2+26x+24
200
Factor:
v^2+3v-40
(v-5)(v+8)
200
Solve:
x^2+5x=3
x=(-5pm sqrt37)/2
200
Find the coordinates of the vertex:
f(x)=-x^2-6x-8
(-3, 1)
300
Multiply:
(3x-2)^2
9x^2-12x+4
300
Factor:
2a^2-7a+5
(2a-5)(a-1)
300
Solve:
3x^2+5=5x
(5 pm i sqrt35)/6
300
Find the intervals of increase and decrease:
Increasing on
(- infty, -5)
Decreasing on
(-5, infty)