Question

What is the greatest common factor of the polynomial's terms? 14a3b4−7ab7+21a2b

Answer 1

The Answer is 7(ab).

I did the quiz.

Answer 2

Answer: 7ab

Explanation:

The given polynomial :
`14a^3b^4-7ab^7+21a^2b`

The terms of the above polynomial can be written as :

`14a^3b^4=(7*2)a^(2+1)b^(3+1)=(7*2)a^2(a)b^3b\\\\-7ab^7=-7ab^(6+1)=-7ab^6(b)\\\\21a^2b=(7*3)a^(1+1)b=(7*3)a(a)b`

Now, we can see that the greatest common factor of the polynomial's terms=
`7ab`