If roots are α and β, then sum α + β equals ____. A. b/a B. −b/a C. c/a D. −c/a Explanation: Standard formula.
If coefficient of x² is negative, parabola opens ____. A. Upward B. Downward C. Left D. Right Explanation: Negative coefficient → downward.
If coefficient of x² is positive, parabola opens ____. A. Downward B. Upward C. Left D. Right Explanation: Positive leading coefficient → upward.
If roots are imaginary, graph ____.x-axis? A. Cuts B. Touches C. Does not intersect D. Overlaps Explanation: No real roots → no intersection.
If roots are real and distinct, graph cuts x-axis at ____. A. One point B. Two points C. No point D. Infinite points Explanation: Two real roots → two intersections.
If roots are equal, quadratic graph touches x-axis at ____. A. One point B. Two points C. No point D. Infinite points Explanation: A double root gives a single intersection.
If discriminant is negative, roots are ____. A. Real B. Equal C. Imaginary D. Rational Explanation: D < 0 → complex roots.
If discriminant is positive, roots are ____. A. Equal B. Real and distinct C. Imaginary D. Complex equal Explanation: D > 0 → distinct real roots.
If roots of Equation are equal, the discriminant is ____. A. Positive B. Negative C. Zero D. Infinite Explanation: Equal roots when D = 0.
If the sum of roots is −4 and product is 3, the Equation is ____. A. x² + 4x + 3 = 0 B. x² − 4x + 3 = 0 C. x² + 3x + 4 = 0 D. x² − 3x + 4 = 0 Explanation: Substitute into standard form.