Find a quadratic polynomial, the sum and product of whose zeroes are 8/5 and 3/5
respectively.
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Answer:
5x²-8x+3
Step-by-step explanation:
α+β=8/5, αβ=3/5
Quadratic polynomial
=x²-(α+β)x+αβ
=x²-8x/5+3/5
Multiple each term by 5
=x²×5-8x/5×5+3/5×5
=5x²-8x+3
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