if one zero of the polynomial q(x) =x²+px+8 is double the other,then find the value of p and hence both zeros of q(x)
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Step-by-step explanation:
p(x)=x²+px+8..
take 1 zero as alpha
and the other as 2×alpha as it is twice the first zero...
hope it helps...
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let the one zero be A
then 2nd= 2A
product of zeroes
= A×2A = constant term/coef of x^2
2A^2=8/1
A^2=4
A=√4
A=2
sum of zeroes
2A+A = -ceoff of x/coeff of x^2
3A = -p/1
3×2=-p
6=-p
p=-6
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