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.

Discriminant?…

Answer 1

When you have a polynomial expression of order n, there can be at most n real solutions. As you were guessing, the discriminant in an expression of order 2 will tell you how many solutions there will be. There are 3 cases (I'm going to call the discriminant D): D > 0, D = 0, and D < 0. From this, you should be able to figure out the answer.

Answer 2

i can thx so much