James Madison High School Algebra Polynomial Functions Question

Polynomial Functions Exam: I will try to upload some and send the rest when the teacher accept it.

Thanks

Question 1 (5 points)
Use the quadratic formula to find the complex solutions to the equation 10×2 – x + 9
= 0.
A) X=
1+ 3591
20
B)
-1 359
X =
20
O
C)
-13591
X=
20
D) 1+ 3591
X=
2
Question 2 (5 points)
What is the sum (6×3 – 5×2 + 3x – 5) + (8×4 + 3×3 + 5×2 + x + 4)?
A) 9X6 + 8×4 + 4×2 – 1
B) 8×4 + 3×3 – 10×2 + 4x – 1
C) 8×4 + 9×2 + 4x – 1
OD) 8×4 – 3×3 + 10×2 – 2x + 9
Question 3 (5 points)
Factor x4 – 81.
A) (x2 + 3)(x2 – 3)
B) (x + 3)2(x – 3)2
C) (x2 – 9)(x+3)(x – 3)
D) (x2 + 9)(x + 3)(x – 3)
Question 4 (5 points)
A local minimum of a function is its
A) smallest value of the function over its entire domain.
B) largest value for a given interval.
C) smallest value for a given interval.
D) largest value of the function over its entire domain.
Question 5 (5 points)
Consider the function f(x) = x4 – x3 + 2×2 – 2x. How many real roots does it have?
A) 2
B) 3
C) 1
D) 4
Question 6 (5 points)
For a given function f(x), the operation f(3x) will
A) shrink the graph vertically by a factor of 1/3.
B) stretch the graph horizontally by a factor of 3.
C) stretch the graph vertically by a factor of 3.
D) shrink the graph horizontally by a factor of 1/3.
Question 7 (5 points)
Find all real and non-real roots of the function f(x) = (x2 + 4)(x – 2).
A)
x = -2;
+
B) x= +2i, 2
C) x= 12
D)
x = +41, 2
Question 8 (5 points)
Find all real and non-real roots of the function f(x) = x2 + 49.
A) X= -7,7
B) x = i + 7, 1-7
C) x= -7i, 7i
D)
x = -491, 491
Question 9 (5 points)
5Y
4
3
a
b
2
1
xo
-3
-2
11
1
-1
с.
2
-3
-4
Consider points a, b, and cin the graph. Which point is the global maximum?
A) None of these
B) b
C) c
D) a
Question 10 (5 points)
Which of the following is not a factor of 43 – 3×2 – 4x + 12?
=
A) (x + 2)
B) (x+3)
C) (x-2)
OD) (x – 3)
х
Question 11 (5 points)
2 3 4
8 9 10
5
6
to
12
13
14
Identify the zeros of the graphed function.
A) X= -4, -2,0, 1
0
B) x= -4,-2, 1
o
C) x= -1, 0, 2,4
D) x= -1, 2,4
Question 12 (5 points)
Factor x3 – 27.
A)
(x+3)(x2 – 3x + 9)
B)
I
(x – 3)(x2 –
– 3x + 9)
C) (x + 3)(x2 + 3x + 9)
D)
(x- 3)(x2 + + 3x + 9)
Question 13 (5 points)
For a given function f(x), the translation f(x – 2) + 3 means the function will shift
A) right 3 and upward 2.
B) right 2 and upward 3.
C) left 3 and downward 2.
D) left 2 and downward -3.
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Question 14 (5 points)
10. Y
9
8
6
5
4
3
2
X
.10 -98
2
8 9 10
4
-5
6
-7
8
-9
Consider the graph of the polynomial function. Which of the following shows three
binomial factors of the function?
A) (x + 1)(x + 3)(x – 2)
B) (x – 1)(x – 2)(x – 3)
C) (x + 1)(x + 2)(x + 3)
D) (x + 2)(x – 1)(x – 3)
Question 15 (5 points)
Find the zeros of g(x) = x3 + x2 – 9x-9.
+
A) X= -3,3
B) x= -3,-1,3
C) x= -3, 1,3
D) x= -1,3
Question 16 (5 points)
Determine if the function f(x) = 3×5 – 9 is even, odd, or neither.
A) Even
B) Not enough information given
C) odd
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D) Neither odd nor even
LJ