Question

The G.C.D of two polynomials is (x-2) and their L.C.M is (x-2)(x-3)(x-5).If one of the polynomials is (x²-7x+10),find the other.​

Answer 1

x−2) is GCD of 2 Polynomials ⇒x=2 is

root of 2 Poly.

⇒2

2

−7×2+q=0⇒

q=10

2

3

−3.2

2

+2p+24=0⇒

p=−10

∴

p+q=0