alleryStart learning →The zeroes of the polynomial $x^2 - 5x + 6$ are
A-2 and -3
B1 and 6
C2 and 3
D2 and -3
Answer & Solution
Correct answer: C. 2 and 3
1. Factorise: $x^2-5x+6 = (x-2)(x-3)$.
2. Setting each factor to 0 gives $x=2$ and $x=3$.
3. Check: sum $=5=-(-5)/1$, product $=6=6/1$.
_Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch9 'Polynomials', §9.3_
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