Question

Find the GCF of the given polynomial. 8x6y5 - 3x8y3

Answer 1

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!

Answer 2

Answer:

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, $x^6y^3$