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Polynomial

If fx = 2x3...

Question

If $f (x) = 2 x^{3} + 3 x^{2} - 11 x + 6$ , find $f (1)$

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Solution

In the given polynomial $f (x) = 2 x^{3} + 3 x^{2} - 11 x + 6$ , substitute $x = 1$ as shown below:

$f (1) = (2 \times 1^{3}) + (3 \times 1^{2}) - (11 \times 1) + 6 = (2 \times 1) + (3 \times 1) - 11 + 6 = 2 + 3 - 11 + 6 = 11 - 11 = 0$

Hence, $f (1) = 0$ .

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