Evaluating Polynomials
To evaluate a polynomial means to replace each variable with a given
number and then to simplify.
Example
Evaluate the given polynomial when x = 3 and y = 1:
5x^{4} + 8xy  12y^{2} + 7
Solution 
5x^{4} 
+ 8xy 
 12y^{2} 
+ 7 
Substitute 3 for x and 1 for y.

= 5(3)^{4} 
+ 8(3)(1) 
 12(1)^{2} 
+ 7 
Simplify terms with exponents.

= 5 Â· 81 
+ 8(3)(1) 
 12 Â· 1 
+ 7 
Multiply.

= 405 
 24 
 12 
+ 7 
Simplify. 
= 376 



