Find a quadratic polynomial, the sum and product of whose zeroes are 2 and – 3/2 , respectively. Also find its
zeroes.
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Answer:
2x²-4x-3
Step-by-step explanation:
α+β=2, αβ=(-3/2)
Quadratic polynomial
=x²-(α+β)x+αβ
=x²-(2)x+(-3/2)
=x²-2x-3/2
Multiply each term by 2
=x²×2-2×2x-3/2×2
=2x²-4x-3
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