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Nature of Roots

If px= x3-4...

Question

If p(x)= $x^{3} - 4 x^{2} + 5 x - 2$ , then p(2) is:

0

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Solution

The correct option is A $0$
Let $f (x) = x^{3} - 4 x^{2} + 5 x - 2$
Now, $f (2) = 2^{3} - 4 \times 2^{2} + 5 \times 2 - 2$
$= 8 - 16 + 10 - 2 = 0$
Since, $f (2) = 0$ .
Then we can say that, $2$ is a zero of $f (x) = x^{3} - 4 x^{2} + 5 x - 2$ .

Therefore, option $A$ is correct.

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