find the function P defined by a polynomial of degree 3 with real coefficients that satisfy the given conditions. The zeros are -3,-1, and 4. The leading coefficient is -4.

Given:

Degree of polynomial = 3

Zeros are -3,-1, and 4.

The leading coefficient is -4.

To find:

The polynomial.

Solution:

The general form of a polynomial is

where, a is a constant, are zeros with multiplicity respectively.

Zeros of the polynomial are -3,-1, and 4. So,

Here, leading coefficient is a.

The leading coefficient is -4. So, a=-4.

Therefore, the required polynomial is .

180

step-by-step explanation: