# Download Write a polynomial function in standard form given the zeros

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```Name______________________________________
practice test (skills)
Write a polynomial function in standard form given the zeros:
1) -2, 3, 0, 0
2) -3 multiplicity 3
Expand using Pascal’s Triangle
3) (x – 3)5
4) (2x – 5)4
Divide using long division—write remainders in fractional form:
5)
(2x3 + 13x2 + 17x + 10)  (x + 5)
6) Divide using synthetic division—write remainders in fractional form:
(x4 – 5x2 + 4x + 12) by (x + 2)
A
7) Use synthetic division and the given factor to completely factor:
y = x3 + 2x2 – 5x – 6; (x + 1)
8) Use synthetic division and the Remainder Theorem to find P(a):
P(x) = 2x3 – x2 + 10x + 5; a = -5
9) Sketch a graph of the function paying attention to the end behaviors and the behavior of the graph
at the x-intercepts.
Y = x(x – 4)3(x + 5)2
A
For each equation, state the number of complex roots, the possible number of real roots, and the
possible rational roots:
10) x5 + 3x4 – x – 3 = 0
11) 2x4 – 3x3 + 4x + 1 = 0
# Complex:
_________________
# Complex: __________________
# Possible reals:
______________________
# Possible reals:____________
Possible rationals:_______________________
Possible rationals:_________________
Solve each equation:
12) x3 – 2x2 + x = 0
13) 64x3 + 1 = 0
14) 2x4 + 14x2 – 36 = 0
15) 27x3 – 64 = 0
A
16) x3 - 3x2 + x + 5 = 0
17) x4 – 2x3 – 5x2 + 4x + 6 = 0
A
```