Question

What is the gcmf of 10c3-80c6+5c2​

Answer 1

the GCF is
`5c^2`

Explanation:

The Greatest Common Factor (GCF)

The highest number that divides exactly into two or more numbers.

To find the GCF of monomials quantities, we find their prime factors and multiply the common factors with the lowest exponent:

We are required to find the GCF of the polynomial:

`10c^3-80c^6+5c^2`

Factor the monomials:

`10c^3=2*5*c^3`

`80c^6=2*2*2*2*5*c^6`

`5c^2=5*c^2`

Take the only common factor 5 and c to the lowest power
`c^2`

Thus, the GCF is
`5c^2`

And the expression is factored as:

`5c^2(2c-16c^4+1)`