Class 10 Math All topics Polynomials

If 2 and $−21 $ as the sum and product of its zeros respectively then the quadratic polynomial f(x) is

(a)

$x_{2}−2x−4$

(b)

$4x_{2}−2x+1$

(c)

$2x_{2}+4x−1$

(d)

$2x_{2}−4x−1$

Correct answer: (d)

Solution:

If $α$, $β$ be the zeros of the quadratic polynomial $ax_{2}+bx+c$,then

$(α+β )=2=−ab ,αβ=−21 =ac $

If $a=2$, $b=−4$, $c=−1$, the required polynomial will be

$2x_{2}−4x−1$

Similar topics

introduction to trigonometry

functions

some applications of trigonometry

quadratic equations

polynomials

introduction to trigonometry

functions

some applications of trigonometry

quadratic equations

polynomials

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