Passage : i) The highest common factor $\left(H.C.F\right)$  of two polynomials $f\left(x\right)$  and $g\left(x\right)$ is the common factor which has the highest degree among all common factors and in which the coefficient of the highest degree term is positive.

ii) The least common multiple $\left(L.C.M\right)$  of two or more polynomials is the polynomial of the lowest degree, having smallest numerical coefficient which is exactly divisible by the given polynomials and whose coefficient of the highest degree term has the same sign as the sign of the coefficient of the highest degree term in their product.

iii) If the $L.C.M$  and $H.C.F$  of two polynomials $p\left(x\right)$  and $q\left(x\right)$  are $l\left(x\right)$  and $h\left(x\right)$  respectively, then $h\left(x\right).l\left(x\right)=p\left(x\right).q\left(x\right).$