How do you find f(-3) given $f(x)=x^3-2x^2+4x+6$ using synthetic division?

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How do you find f(-3) given $f(x)=x^3-2x^2+4x+6$ using synthetic division?

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Answer 1 · 2017-08-05T14:29:56

The remainder is $color(red)(-51)$ and the quotient is $=x^2-5x+19$

Explanation:

Let's perform the synthetic division

$color(white)(aaaa)$ $-3$ $color(white)(aaaaaa)$ $|$ $color(white)(aa)$ $1$ $color(white)(aaaa)$ $-2$ $color(white)(aaaaaa)$ $4$ $color(white)(aaaaaaa)$ $6$
$color(white)(aaaaaaaaaaaa)$ _________

$color(white)(aaaa)$ $color(white)(aaaaaaa)$ $|$ $color(white)(aaaa)$ $color(white)(aaaaa)$ $-3$ $color(white)(aaAaa)$ $15$ $color(white)(aaaaa)$ $-57$
$color(white)(aaaaaaaaaaaa)$ ________

$color(white)(aaaa)$ $color(white)(aaaaaaa)$ $|$ $color(white)(aaa)$ $1$ $color(white)(aaaaa)$ $-5$ $color(white)(aaaaaa)$ $19$ $color(white)(aaaa)$ $color(red)(-51)$

The remainder is $color(red)(-51)$ and the quotient is $=x^2-5x+19$

Therefore,

$(x^3-2x^2+4x+6)/(x+3)=x^2-5x+19-51/(x+3)$

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How do you find f(-3) given $f(x)=x^3-2x^2+4x+6$ using synthetic division?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

How do you find f(-3) given f(x)=x^3-2x^2+4x+6f(x)=x^3-2x^2+4x+6 using synthetic division?

1 Answer

Explanation:

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How do you find f(-3) given $f(x)=x^3-2x^2+4x+6$ using synthetic division?