Polynomial Functions Test 1.f(x) = 4x3 + 11x2 + 5

The relative maximum is at x = –1.83, and the relative minimum is at x = 0.
The relative maximum is at x = –1.83, and the relative minimum is at x = 0.

The relative maximum is at x = –1.83, and the relative minimum is at x = 1.
The relative maximum is at x = –1.83, and the relative minimum is at x = 1.

The relative maximum is at x = 1.83, and the relative minimum is at x = 0.
The relative maximum is at x = 1.83, and the relative minimum is at x = 0.

The relative maximum is at x = 1.83, and the relative minimum is at x = 1.
2. Given a polynomial and one of its factors, find the remaining factors of the polynomial.

x3 + 2x2 − x − 2; x+2
The remaining factors are (x - ) and (x + )
3. Use synthetic substitution or direct substitution to find f(2) for the function f(x) = 3x4 + x3 − 2x2 + x + 12.

f(2) =
4.Find all of the zeros of the function f(x) = x3 + x2 − 17x + 15.

The zeros of the function are -
,
, and
. (Put the zeros in order from least to greatest.)
5. For the given function, determine consecutive values of x between which each real zero is located.

f(x) = –14x4 – 7x3 – 18x2 + 17x + 11

There is a zero between x = 0 and x = 1.
There is a zero between x = 0 and x = 1.

There are zeros between x = 1 and x = 0, x = 0 and x = –1.
There are zeros between x = 1 and x = 0, x = 0 and x = –1.

There are zeros between x = 2 and x = 3, x = 1 and x = 2, x = –1 and x = –2, x = –1 and x = –2, x = –2 and x = –3.
There are zeros between x = 2 and x = 3, x = 1 and x = 2, x = –1 and x = –2, x = –1 and x = –2, x = –2 and x = –3.

There is a zero between x = 0 and x = –1.
6.Find all of the zeros of the function f(x) = x3 + 7x2 + 4x − 12.

The zeros of the function are -
, -
, and
. (Put the zeros in order from least to greatest.)
7.Given a polynomial and one of its factors, find the remaining factors of the polynomial.

2x3 + 7x2 −53x − 28; x−4
The remaining factors are (x +
) and (
x +
)
8. Find all of the zeros of the function f(x) = x4 − 3x3 − 3x2 − 75x − 700.

The zeros of the function are -
,
, -
i, and
i. (Put the zeros in order from least to greatest.)