Question

if alpha and beta are two zeros of a polynomial x square - 5 x + 6 find the quadratic polynomial whose zeros are 2alpha +1 and 2beta +1 ?
CLASS 10 POLYNOMIALS​

Answer 1

Answer:

x²-5x+6=0

(x-2)(x-3)=0

x=2,3

alpha=2

beta=3

x²+(alpha+beta)+(alpha.beta)

roots are 2alpa+1=2×2+1=5,2beta+1=2×3+1=7

x²+(5+7)x+(5×7)=0

x²+12x+35=0 is your answer

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$\rm\pink{hope it \ helps you }$

$<marquee behaviour-move><font color="red black"><h1>#keep asking your doubts </ ht></marquee>$

Answer 2

x²-5x+6=0

(x-2)(x-3)=0

x=2,3

alpha=2

beta=3

x²+(alpha+beta)+(alpha.beta)

roots are 2alpa+1=2×2+1=5,2beta+1=2×3+1=7

x²+(5+7)x+(5×7)=0

x²+12x+35=0 is your answer

26july2005^_^