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Q.16Find a quadratic polynomial the sum and product of whose zeroes are -8 and 12 respectively. Hencefind the zeroes.(CBSE 2015, 1M]

Answer»

P(x)=x^2-Sx+psum of zeroes=-8product of zeroes=12hence P(x)=x^2+8x+12now factorise this x^2+2x+6x+12=0 x(x+2)+6(x+2)=0 (x+2)(x+6)=0therefore zeroes are-2 & -6



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