Question

10. A quadratic polynomial whose sum and product of zeroes are 5 and 6 is
(a) x - 5x - 6 (b) x + 5x - 6 (c) x² + 5x + 6 (d) none of the above.
2,
10
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Answer 1

The correct option is( d).

Because according to standard formula the correct answer is xsquare - (alpha+beta) x+alpha*beta.

Therefore, x2-5x+6.

Answer 2

SOLUTION

$\bold{Quadratic\ polynomial}$ = A polynomial which can be written in the form of ax^2 + bx + c

Sum = $\alpha$ + $\beta$ = 5

$\implies$ $\dfrac{-b}{a}$ = 5

$\implies$ $\dfrac{Coeficient\ of\ x}{Coeficient\ of\ x^2}$

So b = -5 and a = 1

Product = $\alpha$ × $\beta$ = 6

$\implies$ $\dfrac{c}{a}$ = 6

$\implies$ $\dfrac{Constant\ term }{Coeficient\ of\ x^2}$

c = 6

$\bold{So\ the\ quadratic\ polynomial}$ = x^2 -5x + 6

So the correct option is none of the above