Question

factor out the greatest common factor. 4x⁵ + 8x³ − 16x² ?x^(□) (x³ + 2x − 4)

Explanation:

Step1: Find GCF of coefficients

The coefficients are 4, 8, -16. GCF of 4,8,16 is 4.

Step2: Find GCF of variables

For \(x^5\), \(x^3\), \(x^2\), the lowest power of \(x\) is \(x^2\).

Step3: Factor out GCF

Factor out \(4x^2\) from \(4x^5 + 8x^3 - 16x^2\):
\(4x^2(x^3 + 2x - 4)\)
So the first box is 4 and the exponent is 2.

Answer:

The first box (coefficient) is 4 and the exponent of \(x\) is 2. So the filled form is \(\boldsymbol{4}x^{\boldsymbol{2}}(x^3 + 2x - 4)\)