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2. Polynomials
easy
Verify whether the following are True or False:
$0$ and $2$ are the zeroes of $t^{2}-2 t.$
Option A
Option B
Option C
Option D
Solution
A zero of a polynomial $p ( x )$ is a number $c$ such that $p ( c )=0$
Let $p(t)=t^{2}-2 t$
$\therefore \quad p(0)=(0)^{2}-2(0)=0$
And $\quad p(2)=(2)^{2}-2(2)=4-4=0$
Hence, $0$ and $2$ are zeroes of the polynomial $p(t)=t^{2}-2 t$.
Standard 9
Mathematics
