Polynomial Operations
Simplify
(2x^2+3x)+(x^2+4x)
What is
3x^2+7x
Factor
x^2+5x+6
What is
(x+2)(x+3)
What is the vertex form of a quadratic equation?
What is
y=a(x-h)^2+k
What is the vertex of
y=(x+3)^2-7
What is
(-3,-7)
Solve for x:
2x+3=11
What is x=4?
Subtract:
(5x^2-2x+1)-(3x^2+x-4)
What is
2x^2-3x+5
Factor
x^2-9
What is
(x+3)(x-3)
Rewrite in vertex form
y=x^2+4x+1
What is
y=(x-2)^2+3
Is the vertex a maximum or a minimum?
y=4x^2
What is a minimum?
What is the slope of
y=-4x+7
What is -4?
Multiply
(x+2)(x-5)
What is
x^2-3x-10
Factor
x^2-4x
What is
x(x-4)
Find the vertex of
y=2(x-1)^2+5
What is
(1,5)
What is the axis of symmetry for
y=x^2-6x+5
What is
x=3
Find the x-intercept of
y=3x-9
What is x=3?
Multiply
(2x-3)(x^2+x)
What is
2x^3-x^2-3x
Factor
2x^2+7x+3
What is
(2x+1)(x+3)
Write the equation in vertex form
y=-x^2+6x-8
What is
y=-(x-3)^2+1
What is the range of
y=-x^2+2
What is
y≤2
Write the equation of a line with slope 2 passing through (1,5)
What is
y=2x+3
Divide
6x^3+9x^2 by 3x and simplify
what is
2x^2+3x
Factor completely
3x^2-12
What is
3(x+2)(x-2)
Write in vertex form
y=2x^2-8x+7
What is
y=2(x-2)^2-1
State the coordinates of the vertex and the direction the parabola opens.
y=3(x-2)^2+1
What is the vertex (2,1) and opens upwards?
Given points (2,4) and (6,12), find the equation of the line passing through them.
What is y=2x?