How do you find the LCM of #x^2+9x+18, x+3#?

1 Answer
May 29, 2017

LCM is #(x+3)(x+6)=x^2+9x+18#

Explanation:

For finding LCM (or HCF) of two or more polynomials, just factorize the polynomials and then considering each factor a different number , proceed to find LCM (or GCF) as one proceeds with numbers.

Here #x^2+9x+18=x^2+6x+3x+18=x(x+6)+3(x+6)=(x+3)(x+6)# and there are no further factors of second polynomial #(x+3)#

As such we have #(x+3)(x+6)# and #(x+3)#

We have #(x+3)# as common factor and after taking out #(x+3)#,

we are left with #(x+6)#

Hence, LCM is #(x+3)(x+6)=x^2+9x+18#