How do you divide $(4x^3 + 2x -15) / (2 x^2-1 )$ using polynomial long division?

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Answer 1 · 2017-11-21T13:00:01

The quotient is $2x$ and the remainder is $=4x-15$

Perform the long division

$color(white)(aaaa)$ $4x^3+0x^2+2x-15$ $color(white)(aaaa)$ $|$ $2x^2-1$

$color(white)(aaaa)$ $4x^3+0x^2-2x$ $color(white)(aaaaaaaaa)$ $|$ $2x$

$color(white)(aaaa)$ $0x^3+0x^2+4x-15$

The quotient is $2x$ and the remainder is $=4x-15$

So,

$(4x^3+0x^2+2x-15)/(2x^2-1)=2x+(4x-15)/(2x^2-1)$

How do you divide (4x^3 + 2x -15) / (2 x^2-1 ) (4x^3 + 2x -15) / (2 x^2-1 ) using polynomial long division?