Question

Divide 44(x⁴ – 5x³ – 24x²) by 11x(x – 8).

Answer 1

Factorising 44(x⁴ – 5x³ – 24x²), We get

44(x⁴ – 5x³ – 24x²) = `2 xx 2 xx 11 xx x^2(x^2 - 5x - 24)`   ......(taking the common factor x² out of the bracket)

`= 2 xx 2 xx 11 xx x^2(x^2 - 8x + 3x - 24)`

`= 2 xx 2 xx 11 xx x^2(x^2 - 8x + 3x - 24)`

`= 2 xx 2 xx 11 xx x^2[x(x - 8) + 3(x - 8)]`

`= 2 xx 2 xx 11 xx x^2 (x + 3)(x - 8)`

Therefore,

44(x⁴ - 5x³ - 24x²) ÷ 11x(x - 8)

`= (2 xx 2 xx 11 xx x xx x xx (x + 3) xx (x - 8))/(11 xx x xx (x - 8))`

`= 2 xx 2 xx x(x + 3)`

`= 4x(x + 3)`