1.

Find the zeroes of the quadratic polynomial f(x) = x2–3x –28 and verify the relationship between the zeroes and the coefficients of the polynomial.

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ANSWER:

Solution : x2−3x−10=0x2-3x-10=0 x2−5x+2x−10=0x2-5x+2x-10=0 x(x−5)+2(x−5)=0x(x-5)+2(x-5)=0 (x−5)(x+2)=0(x-5)(x+2)=0 X=5,−2X=5,-2 Sum of the roots =−ba=31=-ba=31 which is same as 5−2=35-2=3 product of the roots =ca=−10=ca=-10 which is same as 5x(−2)=−105x(-2)=-10 Hence verified



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