Question

Factor out greatest common factor 8p-8p^(2)-10p^(4)

Answer 1

To factor out the greatest common factor of the polynomial 8p - 8p^(2) - 10p^(4), we divide each term by the highest power of 'p', which in this case is 'p'. Therefore, the factored form is p(8 - 8p + 10p^3).

Step-by-step explanation:

To factor out the greatest common factor (GCF) of the polynomial 8p - 8p^(2) - 10p^(4), we need to find the highest power of 'p' that divides all the terms evenly. In this case, the GCF is 'p' since it is the highest power common to all the terms. Now we can factor out 'p' from each term:

1. 8p divided by p = 8
2. 8p^(2) divided by p = 8p
3. 10p^(4) divided by p = 10p^(3)

Therefore, the factored form of the polynomial is:

p(8 - 8p + 10p^(3))

Learn more about Factoring Polynomials