How do you find the quotient of $(2s^3+3s^2-9s-10) div (s-2)$ using synthetic division?

Question

How do you find the quotient of $(2s^3+3s^2-9s-10) div (s-2)$ using synthetic division?

1 Answer

Impact of this question

1481 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-20T11:39:14

The quotient is $=2s^2+7s+5$

Explanation:

Let's perform the synthetic division

$color(white)(aaaa)$ $2$ $color(white)(aaaaa)$ $|$ $color(white)(aaaa)$ $2$ $color(white)(aaaaaa)$ $3$ $color(white)(aaaaaa)$ $-9$ $color(white)(aaaa)$ $-10$
$color(white)(aaaaaaaaaaaa)$ _________

$color(white)(aaaa)$ $color(white)(aaaaaaa)$ $|$ $color(white)(aaaa)$ $color(white)(aaaaaa)$ $4$ $color(white)(aaaaaaa)$ $14$ $color(white)(aaaaa)$ $10$
$color(white)(aaaaaaaaaaaa)$ ________

$color(white)(aaaa)$ $color(white)(aaaaaaa)$ $|$ $color(white)(aaaa)$ $2$ $color(white)(aaaaa)$ $7$ $color(white)(aaaaaaaa)$ $5$ $color(white)(aaaaaa)$ $color(red)(0)$

$(2s^3+3s^2-9s-10)/(s-2)=(2s^2+7s+5)$

The remainder is $=0$ and the quotient is $=2s^2+7s+5$

Science

Math

Humanities

... and beyond

How do you find the quotient of $(2s^3+3s^2-9s-10) div (s-2)$ using synthetic division?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you find the quotient of (2s^3+3s^2-9s-10) div (s-2)(2s^3+3s^2-9s-10) div (s-2) using synthetic division?

1 Answer

Explanation:

Related questions

Impact of this question

How do you find the quotient of $(2s^3+3s^2-9s-10) div (s-2)$ using synthetic division?