The area of a rectangular billboard is x^2+x-30 square meters. If the length is x + 6 meters, how do you find a binomial that represents the width?

1 Answer
Mar 1, 2016

Answer:

#(x-5)# is the binomial representing width.

Explanation:

To find the width of a rectangular billboard whose area is #(x^2+x-30)# square meters, If the length is #(x+6)# meters, one has to divide area by length.

Hence, width is #(x^2+x-30)/(x+6)#

Factorizing #(x^2+x-30)#, by splitting middle term into #6x# and #-5x#, we get

#(x^2+6x-5x-30)# or

#x(x+6)-5(x+6)# i.e. #(x+6)(x-5)#

Hence, width is #(x+6)(x-5)/(x+6)#

or #cancel(x+6)(x-5)/cancel(x+6)#

or #(x-5)# is the binomial representing width.