find a qudratic polynomial whose sum and product of whose sum are -3 and 2
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Answer: x²+3x+2.
Step-by-step explanation:
Given that,
Sum of zeroes (α+β)= -3
Product of zeroes (αβ)= 2
We know that,
k[x²-(α+β)x+αβ]
Putting the values of α+β and αβ we get,
k[x²-(-3)x+2]
k[x²+3x+2]
Hence, the required polynomial is x²+3x+2.
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