Question

find the gcf of the terms of the polynomial. 44x^6 8x^5

a. 8x

b. x^5

c. 4x^6

d. 4x^5

Answer 1

$44x^6=4x^5\cdot11x\\\\8x^5=4x^5\cdot2\\\\\boxed{GCF(44x^6;\ 8x^5)=4x^5}\to\fbox{d.}$

Answer 2

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.