Mathematics
: asked on jojo10092003

14.01.2020

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17.02.2022, solved by verified expert

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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:

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