Question

Find the greatest common factor of the polynomial: 49mb² - 35m²ba + 77ma.

a) 7ma
b) 7mba
c) 7mb
d) 7m

Answer 1

The greatest common factor of the polynomial 49mb² - 35m²ba + 77ma is 7m.

Step-by-step explanation:

To find the greatest common factor (GCF) of the given polynomial 49mb² - 35m²ba + 77ma, we need to factor out the common terms. In this case, the common term is 7m. We can rewrite the polynomial as 7m(7b² - 5mab + 11a).

So, the greatest common factor of the polynomial is 7m. Therefore, the correct option is (d) 7m.