Question

How to evaluate polynomial function

Answer 1

Answer:

"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:

$f(-3)=(-3)^4+3\times (-3)^3-(-3)^2+6\\\\f(-3)=81+3\times (-27)-9+6\\\\f(-3)=81-81-9+6\\\\f(-3)=-3$

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