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* x^5=4x^5.`

Thus, the required gcf is
`4x^5.`

Option (D) is correct.