How do you evaluate $f(x)=-x^4+8x^3+13x-4$ at x=-2 using direct substitution and synthetic division?

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How do you evaluate $f(x)=-x^4+8x^3+13x-4$ at x=-2 using direct substitution and synthetic division?

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Answer 1 · 2017-02-24T09:43:46

The answer is $=-110$

Explanation:

Direct substitution

$f(-2)=-16-64-26-4=-110$

The remainder is $=-110$

We perform a synthetic division

$color(white)(aaaa)$ $-2$ $color(white)(aaaa)$ $|$ $color(white)(aaaa)$ $-1$ $color(white)(aaaa)$ $8$ $color(white)(aaaaa)$ $0$ $color(white)(aaaaaa)$ $13$ $color(white)(aaaa)$ $-4$

$color(white)(aaaaaa)$ $color(white)(aaaaa)$ $|$ $color(white)(aaa)$ $color(white)(aaaaaaa)$ $2$ $color(white)(aaaaa)$ $-20$ $color(white)(aaaa)$ $40$ $color(white)(aaaaa)$ $-106$

$color(white)(aaaaaaaaaa)$ ------------------------------------------------------------

$color(white)(aaaa)$ $color(white)(aaaaaa)$ $color(white)(aaaaaa)$ $-1$ $color(white)(aaa)$ $10$ $color(white)(aaaaa)$ $-20$ $color(white)(aaaaa)$ $53$ $color(white)(aaaaa)$ $color(red)(-110)$

The remainder is $=-110$

The quotient is $=-x^3+10x^2-20x+53$

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How do you evaluate $f(x)=-x^4+8x^3+13x-4$ at x=-2 using direct substitution and synthetic division?

1 Answer

Explanation:

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Science

Math

Humanities

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How do you evaluate f(x)=-x^4+8x^3+13x-4f(x)=-x^4+8x^3+13x-4 at x=-2 using direct substitution and synthetic division?

1 Answer

Explanation:

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How do you evaluate $f(x)=-x^4+8x^3+13x-4$ at x=-2 using direct substitution and synthetic division?