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
∵ [tex]\frac{36x^{3}}{2x}=18x^{2}[/tex]
∵ [tex]\frac{22x^{2}}{2x}=11x[/tex]
∵ [tex]\frac{4x}{2x}=2[/tex]
∴ 36x³ - 22x² - 4x = 2x(18x² - 11x - 2)
* The missing term is 4x
# Option 2:
∵ the missing term is 16x
∵ [tex]\frac{36x^{3}}{2x}=18x^{2}[/tex]
∵ [tex]\frac{22x^{2}}{2x}=11x[/tex]
∵ [tex]\frac{16x}{2x}=8[/tex]
∴ 36x³ - 22x² - 16x = 2x(18x² - 11x - 8)
* The missing term is 16x
Answer:
The 2nd and 3rd options. 4xy and 12x
Step-by-step explanation:
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