Question

How to evaluate polynomial function

Answer 1

"Evaluation" mostly means "simplifying an expression down to a single numerical value". Sometimes you will be given a numerical expression, where all you have to do is simplify; that is more of an order-of-operations kind of question

example: So let we are given a polynomial function as:

`f(x)=x^4+3x^3-x^2+6` and we are aksed to evaluate this polynomial at
`x=-3`

Then the value of the polynomial will be:

`f(-3)=(-3)^4+3* (-3)^3-(-3)^2+6\\\\f(-3)=81+3* (-27)-9+6\\\\f(-3)=81-81-9+6\\\\f(-3)=-3`

Hence on evaluating the polynomial function f(x) at
`x=-3` we get the value of the polynomial function as
`-3`.