Question

Jessica and Cameron have been solving systems of equations with one polynomial function of degree 2 or higher and one linear function. Jessica says there must always be two solutions, and Cameron says there will only be one solution. Using complete sentences, explain how Jessica can be correct, how Cameron can be correct, and how they both can be wrong.

Answer 1

Nobody came to my rescue, so now that I have fiured out the answer for my question, I shall write it here for others to see. I hope i help!
---------------------------------------------------------------------------
Having a polynomial function with a degree of 2 would create a parabola. While a linear function is a line that goes straight across.

Jessica can be correct, because if the parabola is being intersected (except at the lowest point of the parabola), the line would keep going and come out from the other side. Therefore the linear function's line would touch the parabola 2 times, cause the double intersection.

Cameron can also be correct, because if the linear function's line touches the lowest point in the parabola, the line would only touch the parabola once. Therefore having only 1 solution.

They could both be wrong if the line and the parabola don't intersect.
---------------------------------------------------------------------------