Question

What will be the remainder when 6x + 4x4 - 27x³

- 7x² + 27x + 3/2 is divided by (2x² – 3)?
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Answer 1

Answer: The remainder is 0.

Explanation:

We are given:

Dividend polynomial =
`6x^5+4x^4-27x^3-7x^2+27x+(3)/(2)`

Divisor polynomial =
`2x^2-3`

We divide the dividend by the divisor using the long division method.

In this method, the final answer written in the bottom is considered as remainder and the uppermost polynomial is considered as the quotient.

The long division of the two polynomials is attached in the image below.

From the image, we can say that the remainder of the two is 0