Use the discriminant of the equation to determine the number of $x$-intercepts.
-$f(x)=3 x^{2}-6 x+3$
A) No $x$-intercepts
B) Two x-intercepts
C) One $x$-intercept

Question

Quizplus · Accepted Answer

The discriminant of a quadratic equation $ax^2 + bx + c = 0$ is given by $b^2 - 4ac$. For $f(x) = 3x^2 - 6x + 3$, the discriminant is $(-6)^2 - 4(3)(3) = 36 - 36 = 0$. A discriminant of 0 indicates one real $x$-intercept.

Use the Discriminant of the Equation to Determine the Number xxx

Use the Discriminant of the Equation to Determine the Number $x$