Evaluate the following product using the specific formula.

$(x + \frac{1}{4}) (x + 4)$

x^{2} - \frac{17}{4} x + 1

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x^{2} + \frac{17}{4} x + 1

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x^{2} + \frac{4}{17} x + 1

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x^{2} - \frac{4}{17} x - 1

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Solution

The correct option is B $x^{2} + \frac{17}{4} x + 1$
$(x + a) (x + b) = x^{2} + (a + b) x + a b$

$(x + \frac{1}{4}) (x + 4) = x^{2} + (\frac{1}{4} + 4) x + (\frac{1}{4}) (4)$

= $x^{2} + \frac{17}{4} x + 1$

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