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sid071

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( 6x⁴ - 7x³n - 153x² + 175x + 75 ) ÷ ( x + 5 )

If we multiply ( x + 5 ) with ( 6x³ ) . We get 6x⁴ + 30x³ . Now we need to subtract this equation from the above equation.

-37x³ - 153x² + 175x + 75

Now multiply ( x + 5 ) with ( -37x² ) . We get ( -37x³ - 185x² ) . Subtracting this from the above equation, we get ,

32x² + 175x + 75

Multiply ( x + 5 ) with ( 32x ) . We get ( 32x² + 160x ) . Now subtract this from the above equation. We get,

15x + 75

Now multiply ( x + 5 ) with ( 15 ) . we get ( 15x + 75 ). Now subtract this from the above equation, we get,

0

The answer would be all the bold letters.

Answer : - ( 6x³ - 37x² + 32x + 15 )

Option ( d )

Hope helps!