Question

John was looking at equations of polynomials and then the x intercepts on a graph. he noticed that if he set each factor equal to 0 and solved he got the x intercepts. what reasoning is he using? algebraic, dedutive, or inductive. I can't figure out. I think deductive, but I'm not sure.

Answer 1

ok so if you can point out why its deductive, then you can conclude it is deductive. if you cannot, then you will have to pick another one.

so why do you think its deductive

Answer 2

“Deductive reasoning” means he can prove it.

Inductive reasoning either means “finding a pattern” or “seeing something from observation” or “proving by induction.”

There are different ways to view different problems.
“Geometric reasoning,” “analytic reasoning,” “combinatorial reasoning” refers to those branches of math that the techniques and ideas came from.

Honestly though, I’ve studied math for years, and I’ve never heard of “algebraic reasoning” included in with deductive and inductive.

That’s like comparing which fruit is tastier, apples, oranges, or lettuce.

But in this case, since he hasn’t proven anything, you can say it’s inductive.