Question

Using division algorithm,find the quotient and remainder on dividing f(x) by g(x), where f(x)=6x^3+13x^2+x-2 and g(x)=2x+1

Answer 1

Answer:

Quotient = 3x² + 5x - 2

Remainder = 0

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Step-by-step explanation:

Given :- f(x) = 6x³ + 13x² + x - 2

g(x) = 2x + 1

2x + 1) 6x³ + 13x² + x - 2 ( 3x² + 5x - 2

- ( 6x² + 3x²)

__________________________

= 0 + 10x² + x - 2

- (10x² + 5x)

__________________________

= 0 - 4x - 2

- ( - 4x - 2)

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= 0