Find the quadratic polynomial whose sum and product is -2 and 1/2
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let A and B are the roots of required quadratic polynomial having variable "x"
given , sum (A + B) = -2
product (AB) = 1/2
required quadratic polynomial,
p(x)=x^2 - ( A + B ) x + AB
p(x)=x^2 - ( -2 )x + 1/2
p(x)=x^2 + 2x + 1/2
_________________________
Your Answer: p(x)=x^2 + 2x + 1/2
_________________________
given , sum (A + B) = -2
product (AB) = 1/2
required quadratic polynomial,
p(x)=x^2 - ( A + B ) x + AB
p(x)=x^2 - ( -2 )x + 1/2
p(x)=x^2 + 2x + 1/2
_________________________
Your Answer: p(x)=x^2 + 2x + 1/2
_________________________
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