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Divide 44(x^4-5x^3-24x^2) by 11x(x-8)...

Divide `44(x^4-5x^3-24x^2)` by `11x(x-8)`

Text Solution

Verified by Experts

`44(x^4 - 5x^3 - 24x^2) = 44x^2 [x^2 - 5x-24]`
`= 44x^2 [x^2 + (-8+3)x + (-8)*3]`
`= 44x^2(x+3)(x-8)`
`11x(x-8) = 11*x*(x-8)`
`=> (44(x^4-5x^3 - 24x^2))/(11x(x-8))`
`= (4*11*x*x*(x+3)(x-8))/(11*x*(x-8)`
`= 4x(x+3)`
answer
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