Question

find a quadratic polynomial,the sum and product of whose zeros are-8 and 12 respectively.hence find the zeros​

Answer 1

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

Answer 2

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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