The zeroes of the polynomial p(x)

Question:

The zeroes of the polynomial $p(x)=x^{2}-3 x$ are

(a) 0,0

(b) 0,3

(c) $0,-3$

(d) $3,-3$

 

Solution:

(b) 0, 3

Let:

$p(x)=x^{2}-3 x$

Now, we have:

$p(x)=0 \Rightarrow x^{2}-3 x=0$

$\Rightarrow x(x-3)=0$

$\Rightarrow x=0$ and $x-3=0$

$\Rightarrow x=0$ and $x=3$

 

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