## Form a polynomial whose real zeros and degree are given. ​Zeros: minus−11​, ​0, 55​; ​ degree: 3 Type a polynomial with integer coefficients

Question

Form a polynomial whose real zeros and degree are given. ​Zeros: minus−11​, ​0, 55​; ​ degree: 3 Type a polynomial with integer coefficients and a leading coefficient of 1.

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4 weeks 2021-09-21T15:01:30+00:00 1 Answer 0

Therefore,

A polynomial with integer coefficients and a leading coefficient of 1, Step-by-step explanation:

Given:

​Zeros:

−11​, ​0, 55​; ​

degree: 3

To Find:

Type a polynomial with integer coefficients and a leading coefficient of 1.

Solution:

For a Polynomial degree will decide the number of zeros,

Degree: n indicates “n” number of zeros.

Here, degree: 3 indicates 3 zeros

Let for a Polynomial of degree 3 and ZEROS: a , b and c. then the polynomial is given as Here Zeros are

a = -11,

b = 0,

c = 55

Therefore, …Which is the required Polynomial

Therefore,

A polynomial with integer coefficients and a leading coefficient of 1, 