00:01
We're being asked to determine if the given statement is true or false.
00:04
So let's read it together.
00:06
It says that the sum of two second -degree polynomials is always a second -degree polynomial.
00:14
Okay.
00:15
So let's think about it.
00:17
So that means if i come up with any pair of polynomials that have second -degree, meaning the highest exponent is two, and it still ends up with a second polynomial with a degree of two, then it's true.
00:31
So, for example, let's say i had 3x squared plus 7x minus 5, and i was going to add that to the polynomial negative 3x squared plus 4x plus 11.
00:45
So both of these polynomials are second degree, and we're adding them together.
00:51
So let's see what we get.
00:52
Well, remember, when adding polynomials, we can get rid of both sets of prefaces...