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- The
__discriminant__of a quadratic in the form $ax^2+bx+c$ is given by $\cdots$?

- Calculate the
__discriminant__of the quadratic $x^2+4x-3$

- Which of the following quadratics has a discriminant equal to $100$?

- How many roots does a quadratic $ax^2+bx+c$ have if $b^2-4ac=0$?

- How many roots does a quadratic $ax^2+bx+c$ have if $b^2-4ac> 0$?

- How many roots does a quadratic $ax^2+bx+c$ have if $b^2-4ac< 0$?

- Determine the number of roots of the quadratic $y=x^2-4x+4$.

- How many roots does the quadratic $y=2x^2-5x+3$ have?

- How many roots does the quadratic $y=x^2+x+1$ have?

- For what value(s) of $b$ will the quadratic $y=x^2+bx+16$ have equal roots?

- For which of the following values of $b$ will the quadratic $y=2x^2+bx+9$ have $2$ distinct real roots?

- Determine the roots of the quadratic $y=4x^2+4x+1$

- Find the roots of the quadratic $y=x^2-49x+600$

- For which of the following values of $c$ will the quadratic $2x^2+3x+c$ have no real roots?

- For which of the following values of $a$ will the quadratic $y=ax^2+4x+1$ have $2$ distinct real roots?

- Determine the roots of the quadratic $y=3x^2+4x+1$

- Determine the roots of the quadratic $y=ax^2+2ax+a$

- Determine the roots of the quadratic $y=x^2-8x-9$

- If $x=3$ is a root of the quadratic $y=x^2+bx-12$, determine the value of $b$.

- If $x=5$ is a root of the quadratic $y=x^2+bx-15$, determine the other root.