Question

A wooden beam is left parenthesis 6 y squared plus 5 y plus 1 right parenthesis6y2+5y+1 meters long. If a piece of length left parenthesis y squared minus 12 right parenthesisy2−12 meters is cut​ off, express the length of the remaining piece of beam as a polynomial in y.

Answer 1

5y² + 5y - 11

Explanation:

The length of a wooden beam is as a function of y

L(y) = 6y² + 5y + 1

and a piece of length y² - 12 is cut off the remaining piece is

6y² + 5y + 1 - y² - 12 = 5y² + 5y - 11