The quotient of 8x³ + 22x² - 163x - 44/x+6 is
8x² - 26x - 7 - (2/x+6) option D is correct.
How polynomial divided by a factor.
Given
8x³ + 22x² - 163x - 44* (x+6)⁻¹
Let's use polynomial long division or synthetic division.
The dividend is 8x³ + 22x² - 163x - 44
The divisor is x+6
8x² - 26x - 7
_____________________
x + 6 | 8x³ + 22x² - 163x - 44
-(8x³ + 48x²)
________________
-26x² - 163x
+(26x² + 156x)
_______________
-7x - 44
+(7x + 42)
________
-2
So, the quotient is 8x² - 26x - 7 with a remainder of -2.
Therefore, 8x³ + 22x² - 163x - 44/x+6 = 8x² - 26x - 7 - (2/x+6).
Complete question