The sum and product if zero's of polynomial are -2/5 and 4/3. Find the values of A,B and C, hence write the quadratic polynomial in m.
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Answer:
15m^2+6m+20=0
Step-by-step explanation:
sum of the roots = -2/5
product = 4/3
solution
the quadratic polynomial whose roots are given is written as,
x^2 - (sum of the roots)x + (product of the roots)
= 0
therefore,
m^2 - (-2/5)x + (4/3) = 0
m^2 +(2/5)x + (4/3) = 0
m^2 + (6m + 20)/15 = 0
15m^2 + (6m + 20) = 0
therefore, the ans is,
15m^2 + 6m + 20
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