How do you evaluate $f (x) = 11 x^{3} - 6 x^{2} + 2$ $f(x)=11x^3-6x^2+2$ at x=0 using direct substitution and synthetic division?

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How do you evaluate $f (x) = 11 x^{3} - 6 x^{2} + 2$ $f(x)=11x^3-6x^2+2$ at x=0 using direct substitution and synthetic division?

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Answer 1 · 2018-01-30T06:03:48

$f (x) = f (0) = 2$ $f(x) = f(0) = 2$

Synthetic Division
Quotient $= 11 x^{2} - 6 x$ $color(brown)(= 11x^2 - 6x)$ , Remainder $= \frac{2}{x}$ $color(red)(= 2/x)$

Explanation:

For x = 0, by Direct Substitution

$f (x) = f (0) = 11 \cdot 0 - 6 \cdot 0 + 2 = 2$ $f(x) = f(0) = 11 *0 - 6*0 + 2 = 2$

Synthetic Division

$a a 0 a a ∣ a a 11 a a - 6 a a a 0 a a a 2$ $color(white)(aa)0color(white)(aa)|color(white)(aa)11color(white)(aa)-6color(white)(aaa)0color(white)(aaa)2$

$a a a a a ∣ a a ⏐ ↓ a a a a 0 a a a 0 a a a 0$ $color(white)(aaaaa)|color(white)(aa)darrcolor(white)(aaaa)0color(white)(aaa)0 color(white)(aaa)0$

$a a a a a - - - - - - - - - - -$ $color(white)(aaaaa)-----------$

$a a a a a a a a a 11 a a - 6 a a a 0 a a a 2$ $color(white)(aaaaaaaaa)11color(white)(aa)-6color(white)(aaa)0color(white)(aaa)2$

Quotient $= 11 x^{2} - 6 x$ $= 11x^2 - 6x$ , Remainder $= \frac{2}{x}$ $= 2/x$

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How do you evaluate $f (x) = 11 x^{3} - 6 x^{2} + 2$ $f(x)=11x^3-6x^2+2$ at x=0 using direct substitution and synthetic division?

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Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

How do you evaluate f(x)=11x3−6x2+2f(x)=11x^3-6x^2+2 at x=0 using direct substitution and synthetic division?

1 Answer

Explanation:

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Impact of this question

How do you evaluate $f (x) = 11 x^{3} - 6 x^{2} + 2$ $f(x)=11x^3-6x^2+2$ at x=0 using direct substitution and synthetic division?