if one of the zero of a quadratic polynomial full form of x square x + b is negative of other than it it
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Step-by-step explanation:
Let p(x) = x2 + ax + b. Hence, if one of the zeroes of quadratic polynomial p(x) is the negative of the other, then it has no linear term i.e., a = O and the constant term is negative i.e., b<0
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If one zero of a Quadratic Polynomial x² + ax + b is negative of Other.
the zeros are α , -α .
so,
Sum of zeros = α + (-α) = 0 =
⇒ a = 0 , b < 0
Product of zeros = (α)(-α) = -α²
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