Evaluating Polynomials
To evaluate a polynomial, we replace each variable with the given
number, then simplify.
Example
Evaluate this polynomial when w = 3 and y = 2: 6w^{2} + 4wy  y^{4}
+ 5
Solution
Substitute 3 for w and 2 for y.


6(3)^{2} 
+ 
4(3)(2) 
 
(2)4 
+ 5 
First, do the calculations with
the exponents.

= 
6(9) 
+ 
4(3)(2) 
 
16 
+ 5 
Multiply.

= 
54 
 
24 
 
16 
+ 5 
Add and subtract. 
= 
19 





