### Quiz 6 Math 112 ---- Polynomials

```Quiz 6 Math 112 ---- Polynomials Name___________________________________
DO YOUR WORK ON A SEPERATE PIECE OF PAPER!!!
Show all work in order to receive full credit. Find the y-intercept of the polynomial function.
1) f(x) = (x + 1)(x - 4)(x - 1)2
Use synthetic division and the Remainder Theorem to
find the indicated function value.
8) f(x) = x4 - 7x3 - 6x2 - 7x + 3; f(-3)
Use the Leading Coefficient Test to determine the end
behavior of the polynomial function.
2) f(x) = -3x3 - 3x2 - 2x + 1
Use the Rational Zero Theorem to list all possible rational
zeros for the given function.
9) f(x) = 6x4 + 4x3 - 2x2 + 2
Use factoring to find the zeros of the polynomial function.
3) f(x) = x3 + 2x2 - 9x - 18
Solve the equation given that the number is a zero of the
given function.
10) Solve 2x3 - 3x2 - 11x + 6 = 0
Find the zeros for the polynomial function and give the
multiplicity for each x-intercept. State whether the graph
crosses the x-axis or touches the x-axis and turns around,
at each x-intercept.
4) f(x) = 4(x - 3)(x - 2)2
given that -2 is a zero of
f(x)=2x3 - 3x2 - 11x + 6.
Graph the polynomial function. Show your steps.
5) f(x) = x4 - 4x2
10
y
8
6
4
2
-10 -8 -6 -4 -2
-2
2 4
6 8 10 x
-4
-6
-8
-10
Divide using long division.
2x3 - 11x + 6
6)
x - 2
Divide using synthetic division. Write your answer as
ʺQuotient + Remainder/Divisorʺ
x5 + x3 - 5
7)
x - 2
1
```