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Find the quadratic polynomial sum of whose zeros is 8 and their product is 12 . hence find the zero of the polynomial ?
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Find the quadratic polynomial sum of whose zeros is 8 and their produc...
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Find the quadratic polynomial sum of whose zeros is 8 and their produc...
Given,
alpha + beta =8 and alpha × beta= 12
we know, x2-(alpha+ beta)x+ alpha× beta
= x2-8x+12
Hence, the polynomial is x2-8x+12
Zeroes of the polynomial= x2-8x+ 12=0
= x2-6x-2x+12=0
= x(x-6)-2(x-6)=0
=(x-6)(x-2)=0
=(x-6)=0, (x-2)=0
= x=6 = x=2
Therefore, the polynomial is x2-8x+12 and two of it's zeroes are 6 and 2.
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