Find the values of 'a'an 'b'. so th...
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Find the values of 'a'an 'b'. so that 1 and 2 are the zeros of the polynomial x-10x2+x+b.

11th - 12th Class
Maths
Solution
90
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let ( f(x)=x^{3}-10 x^{2}+a x+b ) Given land 2 are the zero. i. ( e quad f(1)=0 quad f quad f(2)=0 ) ( f(1)=1-10+a+b=0 ) ( quad a+b-9=0 quad 0 ) ( f(2)=8-10 times 4+2 a+b=0 ) ( 8-40+2 a+b=0 ) ( 2 a+b-3==0 quad-0 ) h ( - ) -3 ( frac{a}{-32+9}=frac{b}{-18+32}=frac{1}{1-2} ) ( frac{a}{-23}=frac{b}{14}=frac{1}{-1} ) ( a=-frac{23}{1} quad 1 quad b=frac{14}{1} ) ( 2= )
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