How do you use synthetic division to divide $(- x^{3} + 75 x - 250) \div (x + 10)$ $(-x^3+75x-250)div(x+10)$ ?

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How do you use synthetic division to divide $(- x^{3} + 75 x - 250) \div (x + 10)$ $(-x^3+75x-250)div(x+10)$ ?

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Answer 1 · 2017-11-28T10:19:07

The remainder is $0$ $0$ and the quotient is $= - x^{2} + 10 x - 25$ $=-x^2+10x-25$

Explanation:

Let's perform the synthetic division

$a a a a$ $color(white)(aaaa)$ $- 10$ $-10$ $∣$ $|$ $a a a a$ $color(white)(aaaa)$ $- 1$ $-1$ $a a a a$ $color(white)(aaaa)$ $0$ $0$ $a a a a a a$ $color(white)(aaaaaa)$ $75$ $75$ $a a a a$ $color(white)(aaaa)$ $- 250$ $-250$

$a a a a a a a a$ $color(white)(aaaaaaaa)$ #|color(white)(aaaa)##color(white)(aaaaaa)10# $a a a$ $color(white)(aaa)$ $- 100$ $-100$ $a a a a a$ $color(white)(aaaaa)$ $250$ $250$

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

$a a a a a a a a$ $color(white)(aaaaaaaa)$ #|color(white)(aaaa)# $- 1$ $-1$ $a a a a$ $color(white)(aaaa)$ $10$ $10$ $a a a a$ $color(white)(aaaa)$ $- 25$ $-25$ $a a a a a a$ $color(white)(aaaaaa)$ $0$ $color(red)(0)$

The remainder is $0$ $0$ and the quotient is $= - x^{2} + 10 x - 25$ $=-x^2+10x-25$

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How do you use synthetic division to divide $(- x^{3} + 75 x - 250) \div (x + 10)$ $(-x^3+75x-250)div(x+10)$ ?

1 Answer

Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

How do you use synthetic division to divide (−x3+75x−250)÷(x+10)(-x^3+75x-250)div(x+10)?

1 Answer

Explanation:

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Impact of this question

How do you use synthetic division to divide $(- x^{3} + 75 x - 250) \div (x + 10)$ $(-x^3+75x-250)div(x+10)$ ?