Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression. he graphs the expressions. what is the greatest possible number of intersections for these graphs? none one two infinite

Consider any quadratic equation

A x² + Bx +c=0

and other a linear expression like , p x + q =0

When we combine them , as both of them are equal to zero so the equation becomes

→ A x² + Bx +c = p x +q

1. Graph of quadratic expression is parabolic. It cuts the coordinate axis at two different points if both the roots are real and unequal and if you graph a linear expressions it will be a line.

2. So, a line can cut the parabola or quadratic, maximum at two points.

Maximum number of possible intersections=2

astronomers is your final answer! : )