What is the greatest common factor of the terms in the polynomial 12x⁴ + 2x³ -30x²?

Solution:

Given, the polynomial is 12x⁴ + 2x³ -30x²

We have to find the greatest common factor.

Check for the largest number that can be divided in all 3 numbers.

In this case, the largest number would be 2.

Now, the coefficient of the polynomial divided by 2,

12/2 = 6

2/2 = 1

30/2 = 15

The largest common variable would be x².

x⁴/x² = x²

x³/x² = x

x²/x² = 1

Putting the terms together, we get 2x².

Therefore, the greatest common factor is 2x².

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What is the greatest common factor of the terms in the polynomial 12x⁴ + 2x³ -30x²?

Summary:

The greatest common factor of the terms in the polynomial 12x⁴ + 2x³ -30x² is 2x².