For real x, the expression x² + x + 1 is
AAlways positive
BAlways negative
CZero at some x
DSometimes negative
Answer & Solution
Correct answer: A. Always positive
Its discriminant is −3 and a > 0, so the parabola lies wholly above the x-axis.
Related questions
For x² − 6x + 5 = 0 the numerical value of |α − β| isWhich is a factorisation of 6x² + x − 2?Factoring x² + 7x + 12 = 0 by inspection gives rootsCircle, ellipse, parabola and hyperbola equations are quadratic inProblems solvable by quadratic equations were known as early asThe word quadratic comes from a Latin word meaningThe reduced form of 2x² + 6x + 4 = 0 isDividing a quadratic by a gives a reduced form with leading coefficient