Factor completely 12x4 + 6x3 + 18x2.

Prime

6 (2x4 + x3 + 3x2)

6x2 (2x2 + x + 3)

6x (2x3 + x2 + 3x)

Answer: 6x2 (2x2 + x + 3)

6x² (2x² + x + 3)

Step-by-step explanation:

We factor this by factoring out the GCF.

The largest number that will divide into 12, 6 and 18 is 6.

Since all of the powers of x have an exponent of at least 2, we can factor out an x² as well.

This gives us 6x² on the outside.

12/6 = 2; x⁴/x² = x²

6/6 = 1; x³/x² = x

18/6 = 3; x²/x² = 1

This gives us

6x² (2x² + x + 3)