Question

find a quadratic polynomial with sum and product of zeros are -3and2​

Answer 1

Answer:

Product of zeros =αβ=2×3=6. Thus when α=2 and β=3 the sum and product of zero's are 5 and 6. ... ∴x−2=0 and x−3=0⇒x=2 and x=3. Thus we got the roots of the quadratic polynomial x2−5x+6=0 as x=2 and x=3.

Explanation:

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