Question

Find the HCF and LCM of the following polynomials

3x³-27x³+60x and x³-16.

Answer 1

Let , p(x)=3x³-27x²+60

=> 3x(x²-9x+20)

=> 3x(x-5)(x-4)

and

q(x)=x²-16

=x²-(4)²

=(x-4)(x+4).

Now HCF of p(x) and q(x) =x-4

and LCM of p(x) and q(x) =3x(x-4)(x+4)(x-5)

= 3x(x²-16)(x-5).

Thanks!!!!

Answer 2

Step-by-step explanation:

Let us consider

p(x)=3x³-27x²+60

= 3x(x²-9x+20)

= 3x(x-5)(x-4)

Then

q(x)=x²-16

=x²-(4)²

=(x-4)(x+4)

HCF of p(x) , q(x) = x-4

LCM of p(x) , q(x) =

3x(x-4)(x+4)(x-5)

= 3x(x²-16)(x-5)