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Multiple Choice
1. Find the rational roots of x4 + 8x3 + 7x2 – 40x – 60 = 0. (1 point)
(0 pts) 2, 6
(1 pt) –6, –2
(0 pts) –2, 6
(0 pts) –6, 2
1 /1 point
2. A polynomial equation with rational coefficients has the roots 7 +
,2–
. Find two additional roots. (1 point)
(1 pt) 7 –
,2+
(0 pts) 3 –
,6+
(0 pts) 7 +
,2–
,6–
(0 pts) 3 +
1 /1 point
3. Find all the zeroes of the equation.
2x4 – 5x3 + 53x2 – 125x + 75 = 0 (1 point)
(0 pts) –1, –
(1 pt) 1,
, ± 5i
(0 pts) 1,
(0 pts) –1, –
1 /1 point
, ± 5i
,±5
,±5
4. Use Pascal’s Triangle to expand the binomial.
(8v + s)5
(1 point)
(0 pts) s5 + 320s4v + 5,120s3v2 + 40,960s2v3 + 16,380sv4 +
26,2144v5
(0 pts) s5 – 5s4v + 10s3v2 – 10s2v3 + 5sv4 – v5
(0 pts) s5 + 40s4 + 640s3 +5,120s2 + 20,480s +32,768
(1 pt) s5 + 40s4v + 640s3v2 + 5,120s2v3 + 20,480sv4 +
32,768v5
1 /1 point
5. Which polynomial has a graph that passes through the given points?
(–3, 10), (–1, 0), (0, –5), (3, 52)
(1 point)
(0 pts) y = x3 – 4x2 + 2x – 5
(1 pt) y = x3 + 4x2 – 2x – 5
(0 pts) y = x3 + 4x2 + 2x – 5
(0 pts) y = x4 + 4x3 – 2x2 – 5x
1 /1 point
6. The table shows the amount of milk that Wisconsin dairy farms
produced from 1940 to 1997. Use a linear model to estimate milk
production in 1990.
Yea
r
Milk
Produced
(in
billions of lbs.)
19
40
7
19
72
7
19
97
8
(1 point)
(0 pts) 15.1
(0 pts) 12.5
(1 pt) 7.5
(0 pts) 2.5
1 /1 point
7. How many real zeroes does y = (x + 8)3 + 9 have? (1 point)
(1 pt) 1
(0 pts) 2
(0 pts) 3
(0 pts) 0
1 /1 point
8. What is a quartic function with only the two real zeroes given?
x = 5 and x = 1
(1 point)
(0 pts) y = –x4 – 6x3 + 6x2 – 6x + 5
(0 pts) y = x4 + 6x3 – 6x2 + 6x – 5
(0 pts) y = x4 – 6x3 + 5x2 – 6x + 6
(1 pt) y = x4 – 6x3 + 6x2 – 6x + 5
1 /1 point