Question

factor out the greatest common factor. if the greatest common factor is 1, just retype the polynomial. $10a^{8} + 38a^{7} - 30a^{6}$

Explanation:

Step1: Find GCF of coefficients

Factors of 10: 1,2,5,10
Factors of 38: 1,2,19,38
Factors of 30: 1,2,3,5,6,10,15,30
GCF of 10,38,30 is 2.

Step2: Find GCF of variables

For \(a^8\), \(a^7\), \(a^6\), the lowest power is \(a^6\).

Step3: Factor out GCF

Factor out \(2a^6\) from \(10a^8 + 38a^7 - 30a^6\):
\(2a^6(5a^2 + 19a - 15)\)

Answer:

\(2a^6(5a^2 + 19a - 15)\)