Math, asked by abhayvishwakarma522, 7 months ago

On dividing 4x³+ 2x² - 6x + 3 by a polynomial g(x), the
quotient and remainder were 2x+1 and -12x,
respectively, then the polynomial g(x) is.​

Answers

Answered by kumarsatishpanwar82
1

Answer:

2x² + 3

Step-by-step explanation:

As we know.....

Number = Quotient * Divisor + Remainder

So,

4x³+ 2x² - 6x + 3 = (2x+1)*g(x) - 12x

4x³+ 2x² + 6x + 3= (2x+1)*g(x)

g(x) = (4x³+ 2x² + 6x + 3)/(2x+1)

So...

g(x) = 2x² + 3

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