Question

The area of a rectangle is given as x^2+ 5x+6. Which expression represents either the

length or width of the rectangle?
a) (x-3)
b) (x + 6)
c) (x + 1)
d) (x+3)

Answer 1

d) x + 3

Explanation:

= x² + 5x + 6

Factorise :-

= x² + 2x + 3x + 6

= x(x + 2) + 3(x + 2)

= (x + 2)(x + 3) [Taking common]

Here we are getting (x + 3) as a factor of x² + 5x + 6 which will be either length or the width