Adding & Subtracting Polynomials
Multiplying Polynomials
Factoring
Characteristics of Quadratics
Graphing
100
Add the polynomials. Write the answer in standard form.
(x3+9x2)+(7x3+9x2)
8x3+18x2
100
Multiply 2x(x+4)
2x2+8x
100
Factor x2+8x+7
(x+1)(x+7)
100
Find the vertex
(-2,4)
100
Find the x-intercepts and y-intercept
x-intercepts: (-5,0) and (-1,0)
y-intercept: (0,5)
200
Add the polynomials. Write the answer in standard form.
(8x-x3+4-9x2)+(7x3+9x2-10-8x)
6x3-6
200
Multiply:
(x+2)(x-4)
x2-2x-8
200
Factor x2-2x-8
(x-4)(x+2)
200
Find the axis of symmetry
x=2
200
Find the x-intercepts for y = -(x-1)(x+3)
(-3,0)(1,0)
300
Add the polynomials. Write your answer in standard form.
(5x2+8x-10)+(-12-x+3x2)
8x2+7x-22
300
Multiply (x+5)(x+2)
x2+7x+10
300
Factor x2+6x+9
(x+3)2
300
A u-shaped curved is called a _____________
Parabola
300
Find the y-intercept for y = -(x-1)(x+3)
(0,3)
400
Subtract the polynomials. Write your answer in standard form.
(5x2+8x-10)+(-12-x+3x2)
2x2+9x+2
400
Multiply: (2x+1)(x+3)
*Hint: use the box method
2x2+7x+3
400
Factor x2-16
(x+4)(x-4)
400
Fill in the blank:
The ___________ intersects the parabola at the vertex
axis of symmetry
400
Find the vertex for
y = -(x-1)(x+3)
The axis of symmetry is x=-1
(-1,4)
500
Subtract the polynomials. Write the answer in standard form.
(8x-x3+4-9x2)-(7x3+9x2-10-8x)
-8x3-18x2+16x+14
500
Solve for x:
(x+2)(x-5)
x=-2, x=5
500
Factor 2x2+5x+2
(2x+1)(x+2)
500
Explain how the x-intercepts and the axis of symmetry are related
The x-intercepts are the same distance away from the axis of symmetry.
500
Write an equation for the parabola
(x+5)(x+1)