factor out the greatest common factor from the expression 15x^5-9x^4
GCF = 3x^4
3x^4(5x - 3)
To factor out the greatest common factor from an expression, we look for the largest number or variable that can divide evenly into each term of the expression.
In this case, the terms in the expression are 15x^5 and -9x^4. We can see that both terms have a common factor of 3 because both 15 and -9 are divisible by 3.
Next, we want to determine the highest power of x that can be factored out. The highest power of x that appears in both terms is x^4.
So, the greatest common factor of the expression is 3x^4.
To factor it out, we divide each term of the original expression by the greatest common factor.
(15x^5 - 9x^4) / (3x^4)
This simplifies to:
5x - 3