The sum and product of the zeroes of aquadratic polynomial are -1/2 and -3 respectively. what is the quadratic
polynomial?
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Answered by
2
Answer:
let α and β be the zeroes of the quadratic polynomial.
given,α + β = -1 and αβ = -12
we know that
x² - (α + β)x + αβ = quadratic polynomial
x² - (-1)x + (-12)
x²+x-12 is one of the quadratic polynomial with ,sum and product of zeroes as -1 and -12.
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Answered by
2
Answer:
Let the zeros be X and y.
And the polynomial be = x2 - (sum of zeros)x + (prodyct of zeros).
a/q Sum of zeros = -1/2
and Product of zeros = -3
Now putting the value in polynomial; then we get,
p(x) = x2 - ( -1/2)x + (-3)
= x2 + x/2 - 3.
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