Question

If x to the first power is a line, and you multiply two lines together, what do you get? Think of the the exponent.

Answer 1

ax^2+ bx + c

Explanation:

I get a parabola, that is, an equation of the second degree

Answer 2

Answer: A quadratic equation (also called a parabola)

Explanation:

A line can be written as:

f(x) = a*x + c

This is a polynomial with degree 1.

Now, of we have two lines:

f(x) = a*x + c

and:

g(x) = d*x + e

And we multiply them, we will get:

f(x)*g(x) = (a*x + c)*(d*x + e) = a*d*x^2 + a*e*x + c*d*x + c*e

We can rewrite this as:

= (a*d)*x^2 + (a*e + c*d)*x + (c*e)

This is a polynomial of degree = 2, this is a quadratic equation, then if you multiply two lines together, you get a quadratic equation (or a parabola)