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If alpha and beeta are the …

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If alpha and beeta are the zeroes of the quadratic polynomial f(x)=x2-2x+3, find a polynomial whose roots are (i)A+2,B+2 (ii)A-1/A+1,B-1/B+1
  • 2 answers

Nidhi Chaudhary 6 years, 9 months ago

i) x^2-6x+11 and for (ii) 3x^2-2x+1

Shriyasha Khandige 6 years, 9 months ago

X2-(3×)-(1×)+3=0 ×(×-3)-1(×-3)=0 (×-3)(×-1)=0 ×-3=0 ×-1=0 ×=3 ×=1 A=3 b=1 1} a+2=5 b+2=3 Hence the polynomial is X2-(5+3)×+(5)(3) X2-8×+15 2} a-1 =2=1 A+1 2 B-1/b+1=4 Hence the required polynomial is X2-5x+4
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