Question

Divide 44(x⁴ - 5x³ - 24x²) by 11x ( x - 8 ) ? ​

Answer 1

Answer:

4x ( x + 3 )

Explanation:

Factorize:

44(x⁴ - 5x³ - 24x²)

= 44 ( x² x x² - 5x x x² - 24 x x² )

→ Taking x² common:

= 44x² ( x² - 5x - 24 )

→ By middle term splitting:

= 44x² ( x² + 3x - 8x - 24 )

= 44x² [( x² + 3x ) - ( 8x + 24 )]

• x² + 3x = Both have x as common factor.
• 8x + 24 = Both have 8 as common factor.

= 44x² [ x ( x + 3 ) - 8 ( x - 3 ) ]

→ Taking x + 3 as common:

= 44x² ( x + 3 ) ( x - 8 )

→ Dividing:

$\frac{44( {x}^{4} - {5x}^{3} - {24x}^{2}) }{11x(x - 8)}$

$= \: \frac{44x ^{2} (x + 3)(x - 8)}{11x(x - 8)}$

$= \frac{44}{11} \times \frac{ {x}^{2} }{x} \times (x + 3) \times \frac{(x - 8)}{(x - 8)}$

$= 4 \times x \times (x + 3)$

$= 4x(x + 3)$

Hope this helps you :) ...

#Carry on learning# :) ...