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WorksheetsDPS Week #1 Math Jam (Math 3)
Total questions: 15
Worksheet time: 17mins
Name
Class
Date
1.
What is the degree of the polynomial function
P(x)=3x4-7x2-2x7-x+4
P(x)=3x4-7x2-2x7-x+4
a)
4
b)
7
c)
2
d)
11
2.
How many zeros does the polynomial function
P(x) = 3x4+4x-8 have?
P(x) = 3x4+4x-8 have?
a)
1
b)
2
c)
3
d)
4
3.
What are the zeros of the function?
a)
4,1
b)
3,1,-2,-5
c)
-3, -1, 2, 5
d)
-2,4
4.
Find all zeros of the polynomial function P(x) = x3+6x2+9x+54
a)
6, 3, -3
b)
-6, 3, -3
c)
-6, 3i, -3i
d)
6, 3i, -3i
5.
Is (x-2) a factor of f(x)= x3-8x2+14x-4?
a)
Yes, (x-2) is a factor. There is a remainder.
b)
No, (x-2) is not a factor. The remainder is zero.
c)
Yes, (x-2) is a factor. The remainder is zero.
d)
No, (x-2) is not a factor. There is a remainder.
6.
If 𝒙2+𝟑𝒙+𝟕 is divided by 𝒙+𝟐, then what is the remainder?
a)
0
b)
-3
c)
9
d)
5
7.
What are the
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?
a)
-4, -1, 3
b)
3, -3, 4, 1
c)
4, 1, -3
d)
3, -4, -1, 3
8.
What are the roots of the polynomial function?
y = (x + 2)(x - 7)3
y = (x + 2)(x - 7)3
a)
-2, 7 multiplicity 3
b)
-2, 7, 3
c)
2, -7 multiplicity 3
d)
2, -7, 3
9.
Given the polynomial p(x)=3x3−4x2−3x+4 check all that applies.
a)
The function is increasing on the intervals (−∞, −.284] U [1.173,∞)
b)
The function is decreasing on the intervalsundefined
c)
The function p(x) can be written in factored form as p(x)=(x+1)(x−1)(3x−4)
d)
The function p(x) can be written in factored form as p(x)=(x−1)(x+1)(x+1.33)
e)
as x→−∞, p(x)→−∞
10.
Which of the following functions does NOT have the domain of
(−∞, ∞) ?a)
b)
c)
d)
11.
The graph of a function is shown. What are the domain and range of this function?
a)
Domain: (-∞, ∞)
Range: (-∞, 2]
Range: (-∞, 2]
b)
Domain: [2, ∞)
Range: (-∞, ∞)
Range: (-∞, ∞)
c)
Domain: (-∞, ∞)
Range: (-∞, ∞)
Range: (-∞, ∞)
d)
Domain: (-∞, 2]
Range: [2, ∞)
Range: [2, ∞)
12.
Factor by Grouping:
x3 - 4x2 -4x + 16
a)
(x+4)(x+2)
b)
(x-4)(x2 -4)
c)
(x+4)(x2 -4)
d)
(x-4)(x-2)
13.
Factor by Grouping:
3x3-x2+6x-2
a)
(x2+2)(3x+1)
b)
(x2+2)(3x-1)
c)
(3x3+6x)(x2-2)
d)
none of the above
14.
Factor: 8x3 - 1
a)
(2x - 1)(4x2 + 2x + 1)
b)
(2x + 1)(4x2 - 2x + 1)
c)
(2x - 1)(4x2 - 2x - 1)
d)
(2x + 1)(4x2 +2x + 1)
15.
a5b - 64 ab
a)
ab(a4 - 64)
b)
ab(a2 - 8)(a2 + 8)
c)
ab(a - 4)(a2 + 4a + 16)
d)
ab(a - 2)2(a + 2)2
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