How do you divide $(x^{3} - 125) \div (x - 5)$ $(x^3-125)div(x-5)$ using synthetic division?

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How do you divide $(x^{3} - 125) \div (x - 5)$ $(x^3-125)div(x-5)$ using synthetic division?

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Answer 1 · 2017-10-12T01:32:40

Quotient $x^{2} + 5 x + 25$ $x^2+5x+25$ , Remainder $0$ $0$

Explanation:

$5 a ∣ 1 a a a a a 0 a a a a a 0 a a a a a$ $5color(white)(a)| 1color(white)(aaaaa)0 color(white)(aaaaa)0color(white)(aaaaa)$ -125
$a a ∣ a a a a a a 5 a a a a 25 a a a a a 125$ $color(white)(aa)| color(white)(aaaaaa) 5 color(white)(aaaa) 25 color(white)(aaaaa) 125$
$a a ∣ \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots$ $color(white) (aa)|………………………………………$
$a a a a 1 a a a a a 5 a a a a 25 a a a a a a a 0$ $color(white) ( aaaa) 1 color(white) (aaaaa) 5 color(white) (aaaa )25 color(white)(aaaaaaa ) 0$

Quotient $x^{2} + 5 x + 25$ $x^2+5x+25$ , Remainder $0$ $0$

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How do you divide $(x^{3} - 125) \div (x - 5)$ $(x^3-125)div(x-5)$ using synthetic division?

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How do you divide (x3−125)÷(x−5)(x^3-125)div(x-5) using synthetic division?

1 Answer

Explanation:

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How do you divide $(x^{3} - 125) \div (x - 5)$ $(x^3-125)div(x-5)$ using synthetic division?