First slide

Theory of expressions

Question

The reciprocal equation is

Easy

A

$2 x^{3} + 4 x^{2} + 2 x + 2 = 0$
B

$2 x^{3} + 4 x^{2} + 4 x + 2 = 0$
C

$2 x^{3} + 4 x^{2} + 2 x + 4 = 0$
D

$2 x^{3} + 2 x^{2} + 4 x - 4 = 0$

Solution

If an equation is unaltered by changing x as $\frac{1}{x}$ , then it is a reciprocal equation.

$f (x) = f (\frac{1}{x})$

By verification the reciprocal equation is $2 x^{3} + 4 x^{2} + 4 x + 2 = 0$

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