It is a 3rd degree polynomial: 2 and 3i are roots
Find all roots
What is x = 2, x = 3i, and x = -3i
100
y = (x+3)(x-2)
End behavior
zeros
y-intercept
End behavior (up, up)
zeros x = -3, and x = 2
y-intercept y(0) = - 6
100
Hmmm. This program won't let me inset a graph.
Imagine a graph which crosses the x-axis at 2 and 1.
It crosses the y-axis at 2.
Write your answer in standard form
What is y = x^2 - 3x + 2
200
Write in standard form and classify by degree and # terms:
x^3 + 2x^2 - (x^3 - 2x^2 + 3x +2)
What is 3x +2 a linear binomial
200
x^3 - x^2 - 6x = 0
What is x = 0, x = 3, and x = -2
200
y = x^3 - x^2 - 3x + 2
What is x = 2, x = [-1 + sqrt(5)]/2
200
y = x(2-x)(x+4)
End behavior
zeros
y-intercept
What is
End behavior: (up, down)
zeros: x = 0, x = 2, x = -4
y-intercept y(0) = 0
200
The graph crosses the x-axis at 0 and 1 and bounces off the x-axis at -1.
Write your answer in standard form.
What is y = x^4 +x^3 - x^2 - x
300
Write the simplest polynomial with rational coefficients in standard form with the given zeros: 1, -1, 0, 2i
Then classify it by degree and # of zeros
What is x^5 + 3x^3 - 4x, a quintic trinomial
300
x^3 + 8 = 0
What is x = -2, x = 1 + 2i sqrt(3), and x = 1 - 2i sqrt(3)
300
y = 2x^4 + x^3 + x^2 + x - 1
What is x = -1, x = 1/2, x = i, and x = - i
300
y = x^2 - x^4
End behavior
zeros
y-intercept
What is
End behavior (down, down)
zeros x = -1, x = 0, x = 1
y-intercept y(0) = 0
300
The graph bounces on the x-axis at 1 and -1 and crosses at x = 0. Also the graph changes curvature at x = 0. Also the graph goes towards negative infinity to the right