Answer:
The missing term is 4x
The missing term is 16x
Step-by-step 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
