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

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Answer 1 · 2018-01-30T06:03:48

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

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

For x = 0, by Direct Substitution

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

Synthetic Division

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

$color(white)(aaaaa)|color(white)(aa)darrcolor(white)(aaaa)0color(white)(aaa)0 color(white)(aaa)0$

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

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

Quotient $= 11x^2 - 6x$ , Remainder $= 2/x$

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