Question

The roots of the quadratic equation $3x^2-2x-1=0$ are 1 and $-\frac{1}{3}$. From this information, determine which of the following options will be the zeros of the quadratic polynomial $3x^2-2x-1$

• A. $x=0$ and $x=1$
• B. $x=3$ and $x=2$
• C. $x=1$ and $x=-\frac{1}{3}$
• D. Cannot be determined.

Answer 1

The correct option is C $x=1$ and $x=-\frac{1}{3}$

We know that roots of a quadratic equation and zeros of the corresponding quadratic polynomial are the same.Thus option $c$ is the correct option since these values are the roots of the quadratic equation $3x^2-2x-1=0$. Thus the zeros of the corresponding quadratic polynomial will be the same.