form a quadratic equation whose roots are -2 and -3/2
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Answer:
2x²+7x-6
Step-by-step explanation:
α=(-2), β=(-3/2)
Quadratic polynomial
=x²-(α+β)x-αβ
=x²-[(-2)+(-3/2)]x-(-2)×(-3/2)
=x²-(-2-3/2)x-(-1)(-3)
=x²-(-4-3)/2x-3
=x²-(-7)/2x-3
=x²+7/2x-3
Multiply each term by 2
=x²×2+7/2×2x-3×2
=2x²+7x-6
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