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

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

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Answer 1 · 2017-05-20T11:39:14

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

Explanation:

Let's perform the synthetic division

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

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

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

$\frac{2 s^{3} + 3 s^{2} - 9 s - 10}{s - 2} = (2 s^{2} + 7 s + 5)$ $(2s^3+3s^2-9s-10)/(s-2)=(2s^2+7s+5)$

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

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

1 Answer

Explanation:

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How do you find the quotient of (2s3+3s2−9s−10)÷(s−2)(2s^3+3s^2-9s-10) div (s-2) using synthetic division?

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Explanation:

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