Question

Algebra Two Help:
Betty and Andrea have been solving systems of equations with one polynomial function of degree two and one linear function. Betty says there must always be two solutions, and Andrea says there will no solution. Using complete sentences, explain how Betty can be correct, how Andrea can be correct, and how they both can be wrong.

Answer 1

Look at y = x^2, which is a simple polynomial of degree 2.

y = mx + b might never intersect it, might do so once, might do so twice.

Answer 2

So in some cases there will be only one solution and in some cases there will be two

Answer 3

because a polynomial is a curve it will most likely intersect twice

Answer 4

could be 0, 1, 2 solutions depending on geometry

Answer 5

oh, ok