(3x^3-4x^2+5x-8) divided by (x-3) long division pls;-;
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Answer:
Step-by-step explanation:
Let p ( x ) = 3x³ - 4x²+ 5x - 8
and g ( x ) = ( x - 3 )
Long division :
3x³ - 4x² + 5x - 8 = ( x - 3 ) × ( 3x² - 9x² ) + ( 5x² + 5x - 8 )-------remainder
5x² + 5x - 8 = ( x - 3 ) × ( 5x - 15x ) + ( 20x - 8 )------remainder
20x - 8 = ( x - 3 ) × ( 20 ) + 52-------remainder.
∴ ( 3x³ - 4x² + 5x - 8 ) = ( x - 3 ) × ( 3x² + 5x + 20 ) + 52
Here, Quotient = q ( x ) = ( 3x² + 5x + 20 ) and
Remainder = r ( x ) = 52
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