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Factor completely 12x4 + 6x3 + 18x2.

Prime
6(2x4 + x3 + 3x2)
6x2(2x2 + x + 3)
6x(2x3 + x2 + 3x)

2 Answers

3 votes

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

User Misha Ustinov
by
5.2k points
2 votes

Answer:

6x²(2x² + x + 3)

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)

User Alfredaday
by
5.8k points