Question

which of the following is not a possible number of solutions when solving a system of equations containing a quadratic and a linear function?
0
3
2
1

Explanation:

Step1: Analyze intersection scenarios

A quadratic function forms a parabola, a linear function forms a line. A line can intersect a parabola at 0 (no overlap), 1 (tangent), or 2 (crosses twice) points.

Step2: Evaluate given options

0, 1, 2 are valid intersection counts. A line cannot intersect a parabola 3 times.

Answer:

3