Find all the zeroes of the polynomial p(x) = x4 – 7x³ + 9x² + 13x – 4, if two of its zeroes are (2 +√ 3) and ( 2 - √ 3).

All the zeroes of the polynomial p(x) are:

We are given a polynomial expression p(x) as:

Also two of the zeros of the polynomial are:

i.e. the polynomial could be factored as follows:

where q(x) is a polynomial of degree 2

i.e.

i.e.

Hence, we get the value of q(x) as:

Hence, our polynomial could be represented in terms of linear factors as:

i.e. the other two zeros are: -1 and 4

yes

step-by-step explanation:

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