How do you use synthetic division to divide $(9 x^{3} - 16 x - 18 x^{2} + 32) \div (x - 2)$ $(9x^3-16x-18x^2+32)div(x-2)$ ?

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How do you use synthetic division to divide $(9 x^{3} - 16 x - 18 x^{2} + 32) \div (x - 2)$ $(9x^3-16x-18x^2+32)div(x-2)$ ?

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Answer 1 · 2017-04-02T12:15:03

The quotient is $= 9 x^{2} - 16$ $=9x^2-16$ and the remainder is $= 0$ $=0$

Explanation:

Let $f (x) = 9 x^{3} - 18 x^{2} - 16 x + 32$ $f(x)=9x^3-18x^2-16x+32$

Let's perform the synthetic division

$a a a a$ $color(white)(aaaa)$ $2$ $2$ $a a a a a$ $color(white)(aaaaa)$ $∣$ $|$ $a a a a$ $color(white)(aaaa)$ $9$ $9$ $a a a a$ $color(white)(aaaa)$ $- 18$ $-18$ $a a a$ $color(white)(aaa)$ $- 16$ $-16$ $a a a a a$ $color(white)(aaaaa)$ $32$ $32$
$a a a a a a a a a a a a$ $color(white)(aaaaaaaaaaaa)$ _________

$a a a a$ $color(white)(aaaa)$ $a a a a a a a$ $color(white)(aaaaaaa)$ $∣$ $|$ $a a a a$ $color(white)(aaaa)$ $a a a a a a$ $color(white)(aaaaaa)$ $18$ $18$ $a a a a a$ $color(white)(aaaaa)$ $0$ $0$ $a a a a$ $color(white)(aaaa)$ $- 32$ $-32$
$a a a a a a a a a a a a$ $color(white)(aaaaaaaaaaaa)$ ________

$a a a a$ $color(white)(aaaa)$ $a a a a a a a$ $color(white)(aaaaaaa)$ $∣$ $|$ $a a a a$ $color(white)(aaaa)$ $9$ $9$ $a a a a a a$ $color(white)(aaaaaa)$ $0$ $0$ $a a a$ $color(white)(aaa)$ $- 16$ $-16$ $a a a a a$ $color(white)(aaaaa)$ $0$ $color(red)(0)$

$f (x) = (x - 2) (9 x^{2} - 16) + 0$ $f(x)=(x-2)(9x^2-16)+0$

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How do you use synthetic division to divide $(9 x^{3} - 16 x - 18 x^{2} + 32) \div (x - 2)$ $(9x^3-16x-18x^2+32)div(x-2)$ ?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

How do you use synthetic division to divide (9x3−16x−18x2+32)÷(x−2)(9x^3-16x-18x^2+32)div(x-2)?

1 Answer

Explanation:

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Impact of this question

How do you use synthetic division to divide $(9 x^{3} - 16 x - 18 x^{2} + 32) \div (x - 2)$ $(9x^3-16x-18x^2+32)div(x-2)$ ?