Question

The roots of the quadratic equation $x^2-2x-3=0$ are $-1$ and $3$. The graph of $x^2-2x-3$ will pass through which of the following points.

• A. $(2,0)and(3,0)$
• B. $(-1,0)and(3,0)$
• C. $(0,0)and(1,0)$
• D. None of the above.

Answer 1

Answer: (B)

$(-1,0)and(3,0)$

Here roots of the quadratic equation $x^2-2x-3=0$ are given as $-1$ and $3$. In our question too, the quadratic polynomial in question is $x^2-2x-3$. We know roots of a quadratic equation are $x-$intercepts of the graph of the corresponding quadratic polynomial. Thus the graph of the quadratic polynomial $x^2-2x-3$ will pass through $(-1,3)$. Hence b is the correct option.