A ___________ is an equation in two variables. The right side of the equation consists of a finite number of terms with non-negative integer exponents on the variable x. The left side of the equation is function notation such as f(x) or simply y.
What is Polynomial Function?
100
Factor into two binomials- x^2+8x+12
(x+6)(x+2)
100
The line that runs through the vertex and divides the parabola in half is called the __________.
What is axis of symmetry?
100
what form is this: y = ax^2 +bx + c
What is standard form?
200
the shape a quadratic makes on a graph
What is a parabola?
200
Find the zeros / roots of the following polynomial function, showing they are real or imaginary -- f(x)=x^2 + x - 6
What is (x-2) and (x+3)?
200
Factor into two binomials- 2x^2-12x+10
(2x-2)(x-5)
200
Name the x-intercepts y=x^2 - x - 2
What is (-1,0) and (2,0)?
200
Evaluate f(x) = -1/5x + 1 when x = 5
What is f(5) = 0
300
what is the y-intercept of the given equation: f(x) = 5x^2 + 4x + 10
What is 10?
300
Find a polynomial function with leading coefficient 6 and the Zeros , -1/3, 5/2 , and 3.
y=6[x - (-1/3)](x-5/2)(x-3)
y=6(x+1/3)(x-5/2)(x-3)
y= (2)(3)(x+1/3)(x-5/2)(x-3)
y=(3x+1) (2x-5) (x-3) -- no fractions in final answer
300
Factor by GCF- 18x^3-6x
6x(3x^2-1)
300
Find three solution points to the equation y = -(5 - x)
What is (-1, -6), (0, -5), (1, -4)?
400
What is the vertex of the following equation: 6x^2 + 3x + 2
What is -1/4?
400
Solve the system of equations by using elimination. 2x + y = 9, 3x – y = 16
x=5, y=-1
400
What form is this and graph it on the whiteboard:
y = - 1/2 (x + 7) - 4
What is vertex form?
(not able to insert graph) :(
400
Find the intercepts of 2x + 3y = 12 and graph the equation
x-intercept at (6, 0); y-intercept at (0, 4)
500
What happens if "b^2 - 4ac < 0" ?
parabola has no x-intercepts
500
Given the function f(x) = 2x(x+3)(x+5), find the zeros and their multiplicity.
2x(x+3)(x+5)
2x=0 x+3=0 x+5=0
Zeros : -5, -3, 0 with Multiplicity of 1
500
Find the GCF- (12m^4n^3), (6m^3n^2), (24m^2n^4)
6m^2n^2
500
Name the vertex 2x^2 + 4x - 6 = 0?
What is (-1,-8)?
500
Find the slope of the line through the points (2, 4) and (2.5, 14)