Use the discriminant to determine if the equation can be solved by factoring. If the equation can be solved by factoring, then factor it.
-$f^{2}+5 f+7=0$
A) $(f+7)(f-1)=0$
B) $(\mathrm{f}+6)(\mathrm{f}-8)=0$
C) Cannot be solved by factoring
D) $(\mathrm{f}-2.6)^{2}=0$

Question

Quizplus · Accepted Answer

The discriminant of a quadratic equation $ax^2 + bx + c = 0$ is given by $b^2 - 4ac$. For the equation $f^2 + 5f + 7 = 0$, the discriminant is $5^2 - 4(1)(7) = 25 - 28 = -3$. Since the discriminant is negative, the equation does not have real roots and therefore cannot be solved by factoring.

Use the Discriminant to Determine If the Equation Can Be f2+5f+7=0f^{2}+5 f+7=0f2+5f+7=0

Use the Discriminant to Determine If the Equation Can Be $f^{2}+5 f+7=0$