WorksheetsPolynomial Functions
Total questions: 10
Worksheet time: 2hrs 1mins
Name
Class
Date
1.
What is the equation in factored form of this graph?
a)
f(x) = (x-4)(x-1)2(x+2)(x+4)
b)
f(x) = (x-4)(x+1)2(x+2)(x+4)
c)
f(x) = (x-4)(x-1)2(x-2)(x+4)
d)
f(x) = (x+4)(x+1)2(x-2)(x-4)
2.
Find all zeros for the polynomial function
Factor by grouping and then set = 0 to find zeros.
P(x) = x3 -3x2-5x+15
Factor by grouping and then set = 0 to find zeros.
P(x) = x3 -3x2-5x+15
a)
3, √5
b)
3, √5, -√5
c)
-3, √5, -√5
d)
-3, 5i, -5i
3.
Find a polynomial function of degree 3 with zeros 3i and -2.
a)
P(x) = x3+2x2+9x+11
b)
P(x) = x3-2x2+9x+18
c)
P(x) = x3+2x2+9x+18
d)
P(x) = x2-3ix+2x-6i
4.
The polynomial is...
a)
Odd degree, positive leading coefficient.
b)
Odd degree, negative leading coefficient.
c)
Even degree, positive leading coefficient.
d)
Even degree, negative leading coefficient.
5.
Identify the zeros:
a)
x=2, x=6, x=-4
b)
(x+2)(x+6)(x-4)
c)
(x-2)(x-6)(x+4)
d)
x=-2, x=-6, x=4
6.
True or False: If (7x + 4) is a factor of some polynomial function f, then 4/7 is a zero of the function.
a)
True
b)
False
7.
Use the quadratic formula to find the solutions for
y = -x2 - 5x + 12
y = -x2 - 5x + 12
a)
-4.9 and -0.1
b)
-8.54 and 8.54
c)
-0.45 and 3.55
d)
-6.77 and 1.77
8.
Use the quadratic formula to find the solutions for
y = 2x2 - 9x + 5
y = 2x2 - 9x + 5
a)
-8.14 and -6.14
b)
4.07 and 3.07
c)
3.85 and 0.65
d)
ZERO solutions
9.
Find the vertex of
f(x) = -x2 - 4x + 12.
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
10.
Simplify
(3 + i)(1 - 4i)
(3 + i)(1 - 4i)
a)
7 - 11i
b)
3 - 4i
c)
3 - 11i - 4i2
d)
2 - 3i
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