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Formation of a Quadratic Equation From It's Roots

If α and β ar...

Question

If α and β are the zeros of the quadratic polynomial f(t) = t² − 4t + 3, find the value of α⁴β³ + α³β⁴.

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Solution

Since and are the zeros of the quadratic polynomial

We have

Hence, the value of is .

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Formation of a Quadratic Equation From It's Roots

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