Question

A polynomial of degree at least 3 degree where all the zeros are positive whole numbers

Answer 1

Answer:

$x^{3} - 6\cdot x^{2} + 11\cdot x - 6$

Step-by-step explanation:

A polynomial of a third degree is a product of three binomials of the form $x - a$. Let consider the following polynomial:

$(x-1) \cdot (x-2)\cdot (x-3)$

After some algebraic handling, the standard form of the polynomial is:

$(x^{2}-3\cdot x +2)\cdot (x-3)$

$x^{3} - 3\cdot x^{2} + 2\cdot x - 3\cdot x^{2} + 9\cdot x - 6$

$x^{3} - 6\cdot x^{2} + 11\cdot x - 6$