Quiz 5.7- 6.2 review HW
Name: ___________________________
Block: ______________
1. Evaluate the following expressions. You MUST show a **middle step** to receive credit! Please put
answers in reduced radical form and circle your final answer. (3 points each)
a). 49
d) 64

3
2
2
3
4
b)
e)
100
c)
( 5 32) 4
f).
8
81
4
16
2. Simplify. Put answers in reduced radical form and circle your final answer (3 points each)
a)
d)
g)
x8
y3
b)
3
144
e)
18
3
h)
4
3
6
4
625x12
c)
12 3 2 z 5  z 3 54 z 2

2 4 x  3x5 y

2
f)
5
450 y 7
64a4b11c15
i)
3
75 7
1
5
4
3 4
3. Put the following expressions in order from least to greatest : 22 ,15 , 40, 3 62
4. If a polynomial has zeros of 4, 2 − 𝑖, 𝑎𝑛𝑑 3 + √7. Find all additional zeros.
5. Write a polynomial function of least degree going through points (-3,0), (0, 9) (2, 0) (5,0). Don’t forget
to use one of the points to help you find a.
6. Rewrite the following expressions with simplified rational exponents.
a) 5 3 w2
b)
4
x3 y 2 z 4
c)
5
630
(4 points each)
7. List all possible rational
zeros for given function
f(x) = 6x4 – 16x3 + 4x + 15
8. If 5, 6  2i, 7 are zeros of a
polynomial, what are all the
factors of the polynomial?
9. Simplify:
5
3x13
y2
10. Write a polynomial function f(x) of least degree in standard form for the following graph (check scale
and find a!): (6 points)
Answer - Equation in intercept form:
11. Write a polynomial f(x) of least degree in standard form that has rational coefficients, a leading
coefficient of 1, and with a zero 3  5 and a zero 2 that has a multiplicity 2.
Answer - Equation in standard form: