Question

find a quadratic polynomial whose zeroes are 2root7 and -5root7​

Answer 1

sum of zero= alpha +beta

2√7-5√7=-3

product of zero=alpha×beta

2√7×(-5√7)=-70

quadratic equation=x2-sx+p

x2+3x-70

And then divide them...

Hope you understand

Answer 2

$\huge\mathfrak\red{Answer}$

$\bold{Here \: is \: ur \: answer}$

Required Quadratic polynomial-

${x}^{2} - ( \alpha + \beta )x + \alpha \beta$

↪x^2 - (2√7 - 5√7) +( 2√7 × 5√7)

↪x^2 + 3√7 - 70 is the required Quadratic polynomial...

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