How do you use synthetic division to divide $( 2x^3 + 3x^2 + 4 ) / ( 2x + 1 )$ ?

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How do you use synthetic division to divide $( 2x^3 + 3x^2 + 4 ) / ( 2x + 1 )$ ?

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Answer 1 · 2018-07-11T16:50:03

The remainder is $=(9/2)$ and the quotient is $=(x^2+x-1/2)$

Explanation:

Let's perform the synthetic division

Divide by $2$

$color(white)(aaaa)$ $-1/2$ $|$ $color(white)(aaaa)$ $1$ $color(white)(aaaa)$ $+3/2$ $color(white)(aaaaaa)$ $0$ $color(white)(aaaaaa)$ $2$

$color(white)(aaaaaaaa)$ $|$ $color(white)(aaaa)$ $color(white)(aaaaa)$ $-1/2$ $color(white)(aaaaa)$ $-1/2$ $color(white)(aaaa)$ $1/4$

$color(white)(aaaaaaaaa)$ _________________________________________________________##

$color(white)(aaaaaaaa)$ $|$ $color(white)(aaaa)$ $1$ $color(white)(aaaaaa)$ $1$ $color(white)(aaaaaa)$ $-1/2$ $color(white)(aaaaa)$ $color(red)(9/4)$

The remainder is $=(9/2)$ and the quotient is $=(x^2+x-1/2)$

$(2x^3+3x^2+4)/(2x+1)=(x^2+x-1/2)+(9/4)/(x+1/2)$

$(2x^3+3x^2+4)/(2x+1)=(x^2+x-1/2)+(9/2)/(2x+1)$

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How do you use synthetic division to divide $( 2x^3 + 3x^2 + 4 ) / ( 2x + 1 )$ ?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

How do you use synthetic division to divide ( 2x^3 + 3x^2 + 4 ) / ( 2x + 1 )( 2x^3 + 3x^2 + 4 ) / ( 2x + 1 )?

1 Answer

Explanation:

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Impact of this question

How do you use synthetic division to divide $( 2x^3 + 3x^2 + 4 ) / ( 2x + 1 )$ ?