Question

find a quadratic polynomial, the sum and product of whose zeroes are √2 and-3/2 respectively.Also, find its ZEROES

PLS SOLVE THIS,,........

Answer 1

quadratic polynomial is in form x^2-sx+p
where s=sum of zeroes
p=product of zeroes
so quadratic polynomial= x^2 -√2x +{-3/2}

Answer 2

Hey mate..
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Let the quadratic polynomial be $ax {}^{2} + bx + c$

and its zeroes be $\alpha \: and \: \beta$

We have,

Given, $\alpha + \beta$ = $\frac{ - b}{a}$ =$\sqrt{2}$ = $\frac{2 \sqrt{2} }{2}$

$\alpha\beta$ = $\frac{c}{a}$ = $\frac{ - 3}{2}$

Here,

a = 2 , b = -$2 \sqrt{2}$ and c = -3

On comparing this with ax^2 + bx + c We get,

=> $2x ^{2} - 2 \sqrt{2} x - 3$

We already have zeroes , so we don't need to find them.

#racks