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Find a quadratic polynomial, the sum and product of whose zeroes are \(\frac{21}{8}\) and \(\frac{5}{16}\), respectively. Also, find its zeroes of the polynomial by factorisation.
 
Answer:
 
Quadratic polynomial \(=\)
 
The zeroes are
and
.
Answer variants:
\(x^2 -  \frac{21}{8}x + \frac{5}{16}\)
\(x = -\frac{1}{8}\)
\(x^2 +  \frac{21}{8}x + \frac{5}{16}\)
\(x = \frac{1}{8}\)
\(x = -\frac{5}{2}\)
\(x = \frac{5}{2}\)