find a quadratic polynomial,the sum and product of whose zeros are-8 and 12 respectively.hence find the zeros
Answers
Answered by
81
Answer:
x²+8x+12=0
Zeroes are - 2 and - 6
Step-by-step explanation:
x²-(sum of Zeroes)x +(product of Zeroes) =0
So the quadratic equation is
x²+8x+12=0
x(x+6)+2(x+6)=0
x= - 6 and - 2
Answered by
51
Answer: heyya how are you???looking for the answer??
the answer is -2 and -6
Step-by-step explanation:
here -8 is sum of zeroes and 12 is product of zeroes
as we all know, α+β = -8 and αβ = 12 (given)
x²+6x+2x+12 (splitting the middle term)
x(x+6) + 2(x+6)
so (x+2)(x+6) =0
ie, x+2=0 gives x= -2
and x+6=0 gives x= -6
and here you go your answer!
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