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20 questions
Given the polynomial below, how many roots will it have?
y=x3+5x2−9x−2
2
1
3
0
What are the roots of the polynomial?
-3, 0, and 3
0
-2, 10, and -10
11, 0 and -11
What are the roots of the polynomial h(x)=(x−3)(x+2)(2x+1)
-3,2,1
3,-2,-1
3,-2, −21
-3,2, 21
What is another way to say "where a function crosses the x-axis"?
x-intercept
zero
root
all of these.
Is -3 a zero of f(x)=3x3+2x2−5x+2 ?
no, 3 is not a zero of f(x)
yes
no, 2 is not a zero of f(x)
no, -3 is not a zero of f(x)
If a zero of a polynomial function has multiplicity 2 that means:
The x intercept is at (2, 0)
The graph will "bounce back" at that zero
The graph will "pass through" at that zero
Zeros cannot have multiplicity of 2
Which does not describe the zeros of a polynomial?
Where a graph crosses the x-axis
Also known as the roots
Where x=0
The solution when a factor is set equal to zero
Find the root(s) of the function.
x = 3
x = -3, -1, 2
x = -3, 2
x = -1
What is another word for zeros?
solutions
x -intercepts
roots
All of the these!
Describe the end behavior of the graph.
x → -∞, f(x) → ∞ and x→∞, f(x) →⁻∞
x → -∞, f(x) → ∞ and x→∞, f(x) →∞
x → -∞, f(x) → ∞ and x→∞, f(x) → 0
x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞
Which x-value is a root of the function below?
f(x) = x3 + 4x2 + 9x + 36
x = 3
x = -3
x = 4
x = -4
Given f(x) = 3x3-4x2-28x-16.
Which number below is zero of f(x)?
8
-2
6
1
If f(x) = 2x3-9x2-123x-220, which value below is a root?
18
4
11
-7
If f(x) = 2x3-13x2+36, is x = 6 an x-intercept?
No, because f(6) = 30
Yes, because f(6) = 0
Yes, because f(6) = 30
No, because f(6) = 0
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