Multiple choice

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

  1. $x= 0$ and $x=1$
  2. $x=3$ and $x=2$
  3. $x=1$ and $x = -\dfrac{1}{3}$

  4. Cannot be determined.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The zeros of a polynomial are the values of x for which the polynomial equals zero. Since the roots of the equation 3x^2 - 2x - 1 = 0 are 1 and -1/3, these are by definition the zeros of the polynomial 3x^2 - 2x - 1.

AI explanation

The zeros of a quadratic polynomial are identical to the roots of its corresponding quadratic equation. Since the given quadratic equation is 3x^2 - 2x - 1 = 0 and its roots are already provided as 1 and -1/3, these same values serve as the zeros for the polynomial. The zeros of the polynomial 3x^2 - 2x - 1 are x = 1 and x = -1/3.

Keep practicing — related questions