Find the gcf of the terms of the polynomial. 33x³ + 18x⁶

Solution:

Given polynomial 33x³ + 18x6

The factors of 33 are 1, 3, 11, 33

The factors of 18 are 1, 2, 3, 6, 9, 18

Common factors are 1, 3

Greatest common factor among 1, 3 is 3

Now, the factors of x⁶ is x × x × x × x × x × x

The factors of x³ is x × x × x

Greatest common factor is x × x × x

Therefore, the greatest common factor of the given polynomial is 3(x³)

Find the gcf of the terms of the polynomial. 33x³ + 18x⁶

Summary:

The gcf of the terms of the polynomial. 33x³ + 18x⁶ is 3(x³).