Answer:
9x^2
Explanation:
Each of the coefficients can be divided by nine. You can factor each of them to show what the results would be.
- 18:2 * 3 * 3
- 27:3 * 3 * 3
- 36:3 * 3 * 2 * 2
The bolded part is what is common to each of them.
The highest common factor in all three that's a variable is x^2. You cannot take any more than that out of the three terms.
So the answer would be
9x^2
The HCF that can be taken out of the polynomial and the left over of the polynomial is
9x^2 ( 2x^2 - 3x - 4) This is not your answer but it helps you see what the answer means.