Question

If HCF and LCM of two expression are (x-5) and Xcube-19x-30 then find two expressions.

Answer 1

Let the polynomials be p(x) and q(x)

Given (x −1) is the HCF

(x-1) is a factor of both p(x) and q(x)

Given LCM = x3 7x +6

= (x-1)(x-2)(x-3)

Since both the polynomials are quadratic, so one of the remaining will go to p(x) and the other to q(x)

p(x) = (x-1) (x-2)and q(x) = (x-1)(x-3)

Answer 2

Step-by-step explanation:

see picture

p(x) = (x-5)(x+2)

q(x) = (x-5)(x+3)