Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial. 15n^10+40n^9-5n^8 square

To factor out the greatest common factor from the polynomial , we first identify the greatest common factor (GCF) of the coefficients and the lowest power of in the terms.1. **Identify the GCF of the coefficients:** - The coefficients are 15, 40, and -5. - The prime factorizations are: - - - - The common factor among these is 5.2. **Identify the GCF of the variable terms:** - The powers of are , , and . - The lowest power of is .3. **Combine the GCF of the coefficients and the variable terms:** - The GCF of the polynomial is .4. **Factor out the GCF from each term:** - - - \(-5n^{8} = 5n^{8} \cdot (-1)\)5. **Write the factored form:** - \(15n^{10} + 40n^{9} - 5n^{8} = 5n^{8}(3n^{2} + 8n - 1)\)So, the factored form of the polynomial is: