Mathematics
: asked on jojo10092003

14.01.2020

21

17.02.2022, solved by verified expert

Unlock the full answer

49 students found this answer helpful

Or

Step-by-step explanation:

For a polynomial function of lowest degree with rational real coefficients, each root has multiplicity of 1.

The polynomial has roots and 2 with a leading coefficient of 3.

By the irrational root theorem of polynomials, is also a root of the required polynomial.

By the factor theorem, we can write the polynomial in factored form as:

We expand, applying difference of two squares to obtain

We expand further using the distributive property to get:

Studen helps you with homework in two ways: