alleryStart learning →A real number $k$ is a zero of the polynomial $p(x)$ if
A$p(k)=1$
B$p(k)=0$
C$p(0)=k$
D$k=0$
Answer & Solution
Correct answer: B. $p(k)=0$
1. A zero of a polynomial makes its value zero.
2. So $k$ is a zero of $p(x)$ if $p(k)=0$.
3. Graphically, the zeroes are where $y=p(x)$ meets the x-axis.
_Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch9 'Polynomials', §9.1_
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