How do you divide $(x^4+5x^3-2x^2-4x+4)div(x+3)$ using synthetic division?

Question

How do you divide $(x^4+5x^3-2x^2-4x+4)div(x+3)$ using synthetic division?

1 Answer

Impact of this question

1730 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-09-01T13:08:30

The remainder is $color(red)(-56)$ and the quotient is $=x^3+2x^2-8x+20$

Explanation:

Let's perform the synthetic division

$color(white)(aa)$ $-3$ $color(white)(aaaaa)$ $|$ $color(white)(aaa)$ $1$ $color(white)(aaaaaaaa)$ $5$ $color(white)(aaaaaa)$ $-2$ $color(white)(aaaa)$ $-4$ $color(white)(aaaaaa)$ $4$
$color(white)(aaaaaaaaaaaa)$ $------------$

$color(white)(aaaa)$ $color(white)(aaaaaaa)$ $|$ $color(white)(aaaa)$ $color(white)(aaaaa)$ $-3$ $color(white)(aaaaaa)$ $-6$ $color(white)(aaaaa)$ $24$ $color(white)(aaaa)$ $-60$
$color(white)(aaaaaaaaaaaa)$ $------------$

$color(white)(aaaa)$ $color(white)(aaaaaaa)$ $|$ $color(white)(aa)$ $1$ $color(white)(aaaaaaaa)$ $2$ $color(white)(aaaaaa)$ $-8$ $color(white)(aaaaa)$ $20$ $color(white)(aaa)$ $color(red)(-56)$

The remainder is $color(red)(-56)$ and the quotient is $=x^3+2x^2-8x+20$

$(x^4+5x^3-2x^2-4x+4)/(x+3)=x^3+2x^2-8x+20-56/(x+3)$

Science

Math

Humanities

... and beyond

How do you divide $(x^4+5x^3-2x^2-4x+4)div(x+3)$ using synthetic division?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you divide (x^4+5x^3-2x^2-4x+4)div(x+3)(x^4+5x^3-2x^2-4x+4)div(x+3) using synthetic division?

1 Answer

Explanation:

Related questions

Impact of this question

How do you divide $(x^4+5x^3-2x^2-4x+4)div(x+3)$ using synthetic division?