How do you divide $(m^{3} - 13 m^{2} + 24 m + 18) \div (m - 3)$ $(m^3-13m^2+24m+18)div(m-3)$ using synthetic division?

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How do you divide $(m^{3} - 13 m^{2} + 24 m + 18) \div (m - 3)$ $(m^3-13m^2+24m+18)div(m-3)$ using synthetic division?

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Answer 1 · 2017-02-28T20:50:38

The remainder is $= 0$ $=0$
The quotient is $= m^{2} - 10 m - 6$ $=m^2-10m-6$

Explanation:

We perform a synthetic division

$a a a a$ $color(white)(aaaa)$ $3$ $3$ $a a a a$ $color(white)(aaaa)$ $∣$ $|$ $a a a a$ $color(white)(aaaa)$ $1$ $1$ $a a a a$ $color(white)(aaaa)$ $- 13$ $-13$ $a a a a a a a$ $color(white)(aaaaaaa)$ $24$ $24$ $a a a a a a$ $color(white)(aaaaaa)$ $18$ $18$ $a a a a a a$ $color(white)(aaaaaa)$

$a a a a a a$ $color(white)(aaaaaa)$ $a a a$ $color(white)(aaa)$ $∣$ $|$ $a a a$ $color(white)(aaa)$ $a a a a a a a a a$ $color(white)(aaaaaaaaa)$ $3$ $3$ $a a a a a$ $color(white)(aaaaa)$ $- 30$ $-30$ $a a a a$ $color(white)(aaaa)$ $- 18$ $-18$ $a a a a a a$ $color(white)(aaaaaa)$

$a a a a a a a a a a$ $color(white)(aaaaaaaaaa)$ ------------------------------------------------------------

$a a a a a a a a a a a a a a a a 1 a a a a - 10$ $color(white)(aaaa)color(white)(aaaaaa)color(white)(aaaaaa)1color(white)(aaaa)-10$ $a a a a a - 6 a a a a a a a 0$ $color(white)(aaaaa)-6color(white)(aaaaa)color(white)(aa)color(red)(0)$

The remainder is $= 0$ $=0$

The quotient is $= m^{2} - 10 m - 6$ $=m^2-10m-6$

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How do you divide $(m^{3} - 13 m^{2} + 24 m + 18) \div (m - 3)$ $(m^3-13m^2+24m+18)div(m-3)$ using synthetic division?

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Explanation:

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How do you divide (m^3-13m^2+24m+18)div(m-3)(m3−13m2+24m+18)÷(m−3)(m^3-13m^2+24m+18)div(m-3) using synthetic division?

1 Answer

Explanation:

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How do you divide $(m^{3} - 13 m^{2} + 24 m + 18) \div (m - 3)$ $(m^3-13m^2+24m+18)div(m-3)$ using synthetic division?