Question

The zero of the quotient when x²+5x+6 is divided by x+2 is __________ *

a.-3
b.3
c.2
d. None of these​

Answer 1

The zero of the quotient when x²+5x+6 is divided by x+2 is 3 .

We divide the given polynomial x2+5x+6 by the monomial x+2 as shown below:

x+2x2+5x+6=x+2x2+3x+2x+6=x+2x(x+3)+2(x+3)=x+2(x+2)(x+3)=x+3 

Hence, x+2x2+5x+6=x+3.