How do you use synthetic division to divide $(5 x^{3} - 6 x^{2} + 8) \div (x - 4)$ $(5x^3-6x^2+8)div(x-4)$ ?

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How do you use synthetic division to divide $(5 x^{3} - 6 x^{2} + 8) \div (x - 4)$ $(5x^3-6x^2+8)div(x-4)$ ?

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Answer 1 · 2017-05-14T13:59:56

The remainder is $= 232$ $=232$ and the quotient is $= 5 x^{2} + 14 x + 56$ $=5x^2+14x+56$

Explanation:

Let's perform the synthetic division

Let $f (x) = 5 x^{3} - 6 x^{2} + 8$ $f(x)=5x^3-6x^2+8$

Let's perform the synthetic division

$a a a a$ $color(white)(aaaa)$ $4$ $4$ $a a a a a$ $color(white)(aaaaa)$ $∣$ $|$ $a a a a$ $color(white)(aaaa)$ $5$ $5$ $a a a a a a$ $color(white)(aaaaaa)$ $- 6$ $-6$ $a a a a a a$ $color(white)(aaaaaa)$ $0$ $0$ $a a a a a a a$ $color(white)(aaaaaaa)$ $8$ $8$
$a a a a a a a a a a a a$ $color(white)(aaaaaaaaaaaa)$ _________

$a a a a$ $color(white)(aaaa)$ $a a a a a a a$ $color(white)(aaaaaaa)$ $∣$ $|$ $a a a a$ $color(white)(aaaa)$ $a a a a a a a$ $color(white)(aaaaaaa)$ $20$ $20$ $a a a a a a$ $color(white)(aaaaaa)$ $56$ $56$ $a a a a a$ $color(white)(aaaaa)$ $224$ $224$
$a a a a a a a a a a a a$ $color(white)(aaaaaaaaaaaa)$ ________

$a a a a$ $color(white)(aaaa)$ $a a a a a a a$ $color(white)(aaaaaaa)$ $∣$ $|$ $a a a a$ $color(white)(aaaa)$ $5$ $5$ $a a a a a$ $color(white)(aaaaa)$ $14$ $14$ $a a a a a a a$ $color(white)(aaaaaaa)$ $56$ $56$ $a a a a a$ $color(white)(aaaaa)$ $232$ $color(red)(232)$

$f (x) = (5 x^{2} + 14 x + 56) + \frac{232}{x - 4}$ $f(x)=(5x^2+14x+56)+232/(x-4)$

The remainder is $= 232$ $=232$

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How do you use synthetic division to divide $(5 x^{3} - 6 x^{2} + 8) \div (x - 4)$ $(5x^3-6x^2+8)div(x-4)$ ?

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Explanation:

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How do you use synthetic division to divide (5x3−6x2+8)÷(x−4)(5x^3-6x^2+8)div(x-4)?

1 Answer

Explanation:

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How do you use synthetic division to divide $(5 x^{3} - 6 x^{2} + 8) \div (x - 4)$ $(5x^3-6x^2+8)div(x-4)$ ?