Question

Find the GCF of the given polynomial.

8x6y5 - 3x8y3

Answer 1

GCF(Greatest Common Factor) states that the largest number that will divide the given polynomial.

Given the polynomial:
`8x^6y^5-3x^8y^3`

We write :

`8x^6y^5 = 8 \cdot x^6 \cdot y^3 \cdot y^2` and

`3x^8y^3=3x^6 \cdot x^2 \cdot y^3`

Greatest Common factor of
`8x^6y^5` and
`3x^8y^3` is
`x^6y^3`

then;

`8x^6y^5-3x^8y^3 = x^6y^3(8y^2-3x^2)`

Therefore, the GCF of the given polynomial is,
`x^6y^3`

Answer 2

The GCF of this polynomial is x^6y^3.
8x^6y^5 - 3x^8y^3 = x^6y^3 (8y^2 - 3x^2)

This polynomial cannot be factorized any further. Hope this helps!