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2. Polynomials
medium
Verify whether the following are zeroes of the polynomial, indicated against them.
$p(x) = (x + 1) (x -2)$, $x = -\,1, \,2$
Option A
Option B
Option C
Option D
Solution
If $x=-\,1$ and $x=2$ are zeroes of polynomial $p(x)=(x+1)(x-2),$ then $p(-1)$ and $p (2)$ should be $0$.
Here, $p (-1)=(-1+1)(-1-2)=0(-3)=0,$ and $p (2)$
$=(2+1)(2-2)=3(0)=0$
Therefore, $x=-1$ and $x=2$ are zeroes of the given polynomial.
Standard 9
Mathematics
