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

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

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Answer 1 · 2017-04-01T13:33:10

The quotient is $= 5 x^{2} - 10 x + 26$ $=5x^2-10x+26$ and the remainder is $= - 44$ $=-44$

Explanation:

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

Let's perform the synthetic division

$a a a a$ $color(white)(aaaa)$ $- 2$ $-2$ $a a a a a$ $color(white)(aaaaa)$ $∣$ $|$ $a a a a$ $color(white)(aaaa)$ $5$ $5$ $a a a a$ $color(white)(aaaa)$ $0$ $0$ $a a a \forall A a$ $color(white)(aaaAAAa)$ $6$ $6$ $a a A a a$ $color(white)(aaAaa)$ $8$ $8$
$a a a a a a a a a a a a$ $color(white)(aaaaaaaaaaaa)$ ____________

$a a a a$ $color(white)(aaaa)$ #color(white)(aaaaaaa)|# $a a a a$ $color(white)(aaaa)$ #color(white)(aaaa)-10# $a a a a a$ $color(white)(aaaaa)$ $20$ $20$ $a a a$ $color(white)(aaa)$ $- 52$ $-52$
$a a a a a a a a a a a a$ $color(white)(aaaaaaaaaaaa)$ ____________
$a a a a$ $color(white)(aaaa)$ #color(white)(aaaaaaa)|# $a a a a$ $color(white)(aaaa)$ $5$ $5$ $a a a$ $color(white)(aaa)$ $- 10$ $-10$ $a a a a a$ $color(white)(aaaaa)$ $26$ $26$ $a a a$ $color(white)(aaa)$ $- 44$ $color(red)(-44)$

$f (x) = (x + 2) (5 x^{2} - 10 x + 26) - 44$ $f(x)=(x+2)(5x^2-10x+26)-44$

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

1 Answer

Explanation:

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Math

Humanities

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

1 Answer

Explanation:

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