How do you divide $(3 x^{4} - 2 x^{3} + 5 x^{2} - 4 x - 2) \div (x + 1)$ $(3x^4-2x^3+5x^2-4x-2)div(x+1)$ using synthetic division?

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How do you divide $(3 x^{4} - 2 x^{3} + 5 x^{2} - 4 x - 2) \div (x + 1)$ $(3x^4-2x^3+5x^2-4x-2)div(x+1)$ using synthetic division?

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Answer 1 · 2017-05-08T08:51:52

The remainder is $= 12$ $=12$ and the quotient is $= 3 x^{3} - 5 x^{2} + 10 x - 14$ $=3x^3-5x^2+10x-14$

Explanation:

Let's perform the synthetic division

Let $f (x) = 3 x^{4} - 2 x^{3} + 5 x^{2} - 4 x - 2$ $f(x)=3x^4-2x^3+5x^2-4x-2$

Let's perform the synthetic division

$a a a a$ $color(white)(aaaa)$ $- 1$ $-1$ $a a a a a$ $color(white)(aaaaa)$ $∣$ $|$ $a a a a$ $color(white)(aaaa)$ $3$ $3$ $a a a a a a$ $color(white)(aaaaaa)$ $- 2$ $-2$ $a a a a a a$ $color(white)(aaaaaa)$ $5$ $5$ $a a a a a$ $color(white)(aaaaa)$ $- 4$ $-4$ $a a a a a$ $color(white)(aaaaa)$ $- 2$ $-2$
$a a a a a a a a a a a a$ $color(white)(aaaaaaaaaaaa)$ _________

$a a a a$ $color(white)(aaaa)$ $a a a a a a a$ $color(white)(aaaaaaa)$ $∣$ $|$ $a a a a$ $color(white)(aaaa)$ $a a a a a a a$ $color(white)(aaaaaaa)$ $- 3$ $-3$ $a a a a a a a$ $color(white)(aaaaaaa)$ $5$ $5$ $a a a a a$ $color(white)(aaaaa)$ $- 10$ $-10$ $a a a a$ $color(white)(aaaa)$ $14$ $14$
$a a a a a a a a a a a a$ $color(white)(aaaaaaaaaaaa)$ ________

$a a a a$ $color(white)(aaaa)$ $a a a a a a a$ $color(white)(aaaaaaa)$ $∣$ $|$ $a a a a$ $color(white)(aaaa)$ $3$ $3$ $a a a a a a$ $color(white)(aaaaaa)$ $- 5$ $-5$ $a a a a a a a$ $color(white)(aaaaaaa)$ $10$ $10$ $a a a a$ $color(white)(aaaa)$ $- 14$ $-14$ $a a a a a$ $color(white)(aaaaa)$ $12$ $color(red)(12)$

$f (x) = (3 x^{3} - 5 x^{2} + 10 x - 14) + \frac{12}{x + 1}$ $f(x)=(3x^3-5x^2+10x-14)+12/(x+1)$

The remainder is $= - 2$ $=-2$

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How do you divide $(3 x^{4} - 2 x^{3} + 5 x^{2} - 4 x - 2) \div (x + 1)$ $(3x^4-2x^3+5x^2-4x-2)div(x+1)$ using synthetic division?

1 Answer

Explanation:

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How do you divide (3x4−2x3+5x2−4x−2)÷(x+1)(3x^4-2x^3+5x^2-4x-2)div(x+1) using synthetic division?

1 Answer

Explanation:

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How do you divide $(3 x^{4} - 2 x^{3} + 5 x^{2} - 4 x - 2) \div (x + 1)$ $(3x^4-2x^3+5x^2-4x-2)div(x+1)$ using synthetic division?