Answer: The correct option is (D) \(4x^5.\)
Step-by-step explanation: We are given to find the gcf of the terms of the following polynomial:
\(P=44x^6+8x^5.\)
The terms are
\(T_1=44x^6,\\\\T_2=8x^5.\)
We know that gcf means greatest common factor.
So, to find the gcf of the above two terms,
first we need to find the gcf of 44 and 8 and then the gcf of \(x^6\) and \(x^5.\)
The gcf of 44 and 8 is 4 and gcf of \(x^6\) and \(x^5\) is \(x^5.\)
Therefore, the gcf is given by
\(gcf(T_1,T_2)=gcf(44x^6,8x^5)=4\times x^5=4x^5.\)
Thus, the required gcf is \(4x^5.\)
Option (D) is correct.
