What is a coefficient
The number in front of the variable
Give the x-intercepts and y-intercepts!
X-intercepts: (2,0)
Y-intercepts: (0,1)
b0 = ?
1
Factor the following using EITHER the quadratic formula or X-Method!
x2 + 2x + 1
(x + 1)(x + 1)
x = -1, x = -1
How many terms are in the polynomial 2x3+2x?
2
What is the difference between a monomial, binomial, and trinomial?
Monomial - one term
Binomial - two terms
Trinomial - three terms
Domain: (-3, +∞)
Range: (-4, +∞)
(8b1)(4b4) = ?
32b5
Factor the following using EITHER the quadratic formula or X-Method!
x2 - 7x + 12
(x - 3)(x - 4)
x = 3, 4
(5x2+3)+(-3x2-3)
2x2
What is the difference between the absolute maximum and local minimum?
Absolute maximum is the highest high point on the graph.
Local minimum is the second, third lowest point on the graph.
List all the local and absolute maximums and minimums.
Absolute Max: (-4, 7)
Local Max: (0,3)
Absolute Min: (-7, -6)
Local Min: (-2, -5) , (4, -2)
(6x-5y-1)(4x4y5z)
24x-1y4z (the x should be in the denominator)
Factor the following using EITHER the quadratic formula or X-Method!
x2 - 25
(x - 5)(x + 5)
x = -5, 5
(-6x3+x+15)-(-5x3+2x2-3x+3)
-x3-2x2-4x+12
What is the difference between intervals of increasing/decreasing and intervals of positive/negative?
Increasing and decreasing means going up or down on the graph left to right.
Positive and negatives means whether the graph is above or below the x-axis.
List all intervals of increasing and decreasing.
Increasing: (-7, -6), (-2, -1)
Decreasing: (-1, 7)
(xyzef)0(x7y6x-3y4)
x4y10
Factor the following using EITHER the quadratic formula or X-Method!
2x2+8x+8
2(x+2)(x+2)
x = -2
(x+5)(x2+2)
x3+5x2+2x+10
Describe a linear function, quadratic function, and radical function.
[Answer varies widely]
List all intervals of negative values and positive values.
Positive: (3, 6)
Negative: (-6,3)
Simplify the following expression:
Factor the following using EITHER the quadratic formula or X-Method!
2x2 -7x -15 =0
x = -3/2 or -1.5
(x3+x2+x+4)(x3+x2+x+4)
x6+2x5+3x4+10x3+9x2+8x+16