Question

factor out the greatest common factor.
9x⁴ - 27x³ - 54x
?x(x³ - 3x□ - 6)

Explanation:

Step1: Find GCF of coefficients

The coefficients are 9, -27, -54. The GCF of 9, 27, 54 is 9.

Step2: Find GCF of variables

For \(x^4\), \(x^3\), \(x\), the GCF is \(x\) (lowest power of \(x\) is 1).

Step3: Factor out GCF

Factor out \(9x\) from \(9x^4 - 27x^3 - 54x\):
\(9x^4 - 27x^3 - 54x = 9x(x^3 - 3x^2 - 6)\)
So the first box is 9, the second box (exponent) is 2.

Answer:

First box: 9, Second box (exponent): 2