Question

If a and B are the zeroes of the polynomial f(x) = x2 +
x + 1, then value of+will be
(a) 1 (b) -1 (C) 0 (d) None of these
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a
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C
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Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

If a and b are the zeroes of the polynomial

f(x) = x² + x + 1, then value of a + b will be

(a) 1

(b) -1

(c) 0

(d) None of these

CONCEPT TO BE IMPLEMENTED

If $\alpha \: \: and \: \: \beta \:$are the zeroes of the quadratic equation $\sf{ a {x}^{2} + bx + c= 0}$

Then

$\displaystyle \: \alpha + \beta \: = - \frac{b}{a} \: \: and \: \: \: \alpha \beta \: = \frac{c}{a}$

EVALUATION

Here the given Quadratic polynomial is

f(x) = x² + x + 1

Now it is given that a and b are the zeroes

So

a + b

= Sum of the zeroes

$\displaystyle \sf{ = - \frac{1}{1} }$

$= - 1$

FINAL ANSWER

Hence the correct option is

(b) -1

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