4. Determine the required value

If \(\alpha\) and \(\beta\) are the zeroes of the quadratic polynomial \(p(x) = x^2 - 10x + 21\), find the value of \(\alpha^{2}\) \(+\) \(\beta^{2}\).
 
Answer:
 
The value of \(\alpha^{2}\) \(+\) \(\beta^{2}\) \(=\) .
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