I\’lath 1050-5
Babenko V.
October 28, 2014
Test 2
Name:________________________________________
UID#:___________________________
This is a closed book Test. No books, laptops, or messaging are permitted. NO calculators
are allowed. You have 12 problems, they are equal in weight. The entire exam is worth 12
points. For full credits show all work! Box your answer so it is easy to locate. You have
50 minutes.
GOOD LUCK!!!
1
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4. What is the slope of the straight line in R
2 that passes through the points (4, 3) and
(6,7)?
-
2
5. Complete the square: write 4:
+4r—3 in the form 2
2
(x-i-,8)
+
-y where
-
6. How maiiy roots does 3x
2
2
—
2c
4
—
&)-
10 have?
ccc4
7. Find the roots of x
2
—
2x
—
10
Z±2
2±-iC°)
2-
21
3
-
,
,
-y
R.
8. Find a root of 3[r
3
—
—
1)
3x —2.
Z
I) 2
Z --49. Completely factoi’ 2x
3+x
2 13x + 6. (Hint: 2 is a root.) (Your answer should be a
product of a constant and maybe some linear and quadratic polynomials that have leading
coefficients equal to 1, and such that any of the quadratics in the product have no roots.)
—
Zx+
2\2
-÷c
2
—
/
—
xIz
‘1Z
22
’/
-a
C
2
z
C= (
4
f
\—,
12. Graph
li(x)
=
5(r—2)
2( + 2)
-2
-
2
cy
2
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
2
Total
6
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