Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two options.
2
4xy
12x
24
44y
Answers
Given : 36x³−22x² −__
To Find : Which term can be used in the blank so the greatest common factor of the resulting polynomial is 2x
2
4xy
12x
24
44y
Solution:
36x³−22x² −__
= 2x²( 18x - 11) - ()
Hence in the blank term will come containing 2x as factor (and no x²)
4xy = 2x . 2y
Hence 4xy can come in blank
= 2x²( 18x - 11) - (4xy)
= 2x( 18x² - 11x - 2y)
12x = 2x * 6
Hence 12x can also come
= 2x²( 18x - 11) - (12x)
= 2x( 18x² - 11x - 6)
2 , 24 and 44y does not have x so not possible
4xy and 12x are correct options.
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