Question

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

Answer 1

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`