Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
(I) 1/4,-1
(II) √2,1/3
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2
Answer:
i)α+β=¼, αβ=(-1)
Quadratic polynomial
=x²-(α+β)x+αβ
=x²-(¼)x+(-1)
=x²-x/4-1
Multiply each term by 4
=x²×4-x/4×4-1×4
=4x²-x-4
ii)α+β=√2, αβ=⅓
Quadratic polynomial
=x²-(α+β)x+αβ
=x²-√2x+⅓
Multiply each term by 3
=x²×3-√2×3x+⅓×3
=3x²-3√2x+1
Answered by
1
Step-by-step explanation:
1/4,-1
(II) √2,1/3
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