A quadratic polynomial with zeroes 1/4 and -1 is
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Zeroes: 1/4 and -1
Sum of zeroes = 1/4 - 1
==> 1-4 / 4
==> 3/4
Product of zeroes = 1/4 × -1
==> -1/4
p(x) = x² - ( sum of zeroes )x + ( product of zeroes )
==> p(x) = x² - 3/4x - 1/4
Multiply by 4
==> p(x) = 4x² - 3x - 1
Answered by
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Answer:
α=1/4
β=-1
QUADRATIC FORMULA =x²-(α+β)x+(α×β)
=x²-(-3/4)x+(-1/4)
=x²+3x/4-1/4
=4x²+3x-1
Step-by-step explanation:
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