Question

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

Answer 1

solution in this case, is the point(s) where the polynomial function (with whatever degree) and the linear function (the line) intersect.

Answer 2

There might be 0,1,2 or more depending on the polynomial's degree, solutions.

Answer 3

Also what do you mean by solution? real solution - on the graph, or an imaginary/complex which is although a solution to the equation(s), isn't a solution that can be graphed.