if one of the zeros of a quadratic polynomial of the form x2+ax+b is the negative of the other then
Answers
Answer:
it is the correct answer
Answer: No linear term exists for A, and the constant term is negative.
Given: One of the zeros of a quadratic polynomial of the form x2+ax+b is the negative
To Find: Negative term of other zeroes
Step-by-step explanation:
Assume that p(x) = x2 + ax + b.
Assuming a = 0, the equation p(x) = x2 + b = 0
x2 = -b
x = x = ± ±√-b
Therefore, the quadratic polynomial p(x) has no linear term, i.e., a = O, and the constant term is negative, i.e., b < 0. If one of the zeroes of the polynomial is the opposite of the other, then p(x) has a negative constant term.
Other Approach
Let's say that f(x) = x2 + ax + b and that the zeroes are and -.a
The product of zeroes equals 1, and the sum of the zeroes equals - 1, which means that f(x) = x2 + b cannot be linear.
If b < 0, then (- a) = b
Where b is conceivable.
∴Therefore, there is no linear term and a negative constant term.
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