find the zeros of the quadratic polynomial xsquare + x - 12 and verify the relationship between the zeros and the coefficient
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Answer:
We need to find two such numbers whose sum is 1 and product is -12. Two such numbers are 4 and -3. Either (x + 4) = 0 or (x - 3) = 0. Hence, two zeroes of this polynomial are -4 and 3.
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Given, x²+7x+12
zeros
x² +7x+12=0
(x+3)(x+4)=0
x=−3,−4
verification,
sum of roots =− a/b =− 1/7
=−7
product of roots = a/c
= 1 / 12
=12
Hence proved.
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