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Exponent and Powers

Which of the ...

Question

Which of the following is a root of $3 x^{4} + 6 x^{3} - 4 x^{2} - 6 x + 4$ ?

1

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Solution

The correct option is D $- 2$
$f (x) = 3 x^{4} + 6 x^{3} - 4 x^{2} - 6 x + 4$
$f (- 2)$ $= 3 \times (- 2)^{4} + 6 \times (- 2)^{3} - 4 \times (- 2)^{2} - 6 \times (- 2) + 4$
$= 48 - 48 - 16 + 12 + 4$
$= 0$

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