How do you find the remainder when $f (x) = x^{3} + 5 x^{2} - 12 x + 14; x - 7$ $f(x)=x^3+5x^2-12x+14; x-7$ ?

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Answer 1 · 2018-06-26T06:41:37

See explanation.

To find a reminder of a quotient $\frac{P (x)}{x - a}$ $(P(x))/(x-a)$ you have to calculate $P (a)$ $P(a)$

$P (7) = 7^{3} + 5 \cdot 7^{2} - 12 \cdot 7 + 14 = 343 + 245 - 84 + 14 = 208$ $P(7)=7^3+5*7^2-12*7+14=343+245-84+14=208$

Answer:

The reminder is $208$ $208$ .

How do you find the remainder when f(x)=x3+5x2−12x+14;x−7f(x)=x^3+5x^2-12x+14; x-7?