Question

find the quadratic polynomial whose sum and product of zeros are​

Answer 1

Answer:

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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.

Thus we can split the 2nd term of a quadratic polynomial x2−5x+6=0.

∴x−2=0 and x−3=0⇒x=2 and x=3.

Answer 2

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.

Thus we can split the 2nd term of a quadratic polynomial x2−5x+6=0.

∴x−2=0 and x−3=0⇒x=2 and x=3.