Answer:
The GCF is 9
Step-by-step explanation:
In the given polynomial [tex]18x^6+ 81x^5 - 63x^2 +45[/tex] lets represent each term as its factors
[tex]18x^6[/tex] = [tex]2 \times 3 \times 3 \times x \times x \times x \times x \times x \times x[/tex]
[tex]81x^5[/tex] = [tex]3 \times 3 \times 3 \times 3 \times x \times x \times x \times x \times x[/tex]
[tex]63x^2[/tex] = [tex]3 \times 3 \times 7 \times x \times x[/tex]
45 = [tex]3 \times 3 \times 5[/tex]
The greatest common factors from each term are 3 , 3
Thus the GCF = [tex]3 \times 3[/tex] = 9
