Question

PLS HELP also pls include an explanation/work thank you!!!!! :)

Which term can be used in the blank of
`36x^3-22x^2 -` _____ so that the greatest common factor of the resulting polynomial is 2x? Select TWO options:
A: 2
B: 4xy
C: 12x
D: 24
E: 44y

Answer 1

The missing term is 4x

The missing term is 16x

Explanation:

* Lets explain how to solve the problem

- The polynomial is 36x³ - 22x² - ..............

- We need to find the missing term such that the greatest common

factor of the resulting polynomial is 2x

The greatest power of x is 3, and there is another term with x²,

then the missing term must have x to have a greatest common

factor of the variable = x

The coefficients of the given terms are 36 and 22 , the greatest

common factor of them is 2 so we must to chose the coefficient

of the missing term with a factor 2

# Option 1:

the missing term is 4x

36x³ - 22x² - 4x = 2x(18x² - 11x - 2)

* The missing term is 4x

# Option 2:

the missing term is 16x

36x³ - 22x² - 16x = 2x(18x² - 11x - 8)

* The missing term is 16x