15. Find the values of 'a' an 'b', ...
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15. Find the values of 'a' an 'b', so that 1 and 2 are the zetos of the polynomial -10%+axtb

11th - 12th Class
Maths
Solution
42
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( p(x)=x^{3}-10 x^{2}+a x+b ) ( because quad 1 & 2 ) are genoes ( delta f quad b(x) ) ( Rightarrow quad p(1)=0 quad ) & ( quad p(2)=0 ) ( Rightarrow quad 1-10+a+b=0 quad & quad 8-40+2 a+b=0 ) & ( 2 a+b=32 ) ( Rightarrow quad a+b=9 ) ( frac{2 a+b=32}{a+b=9} ) ( frac{a+23}{b=9-23=-14} ) ( Rightarrow quad a=23 ) and ( b=-14 )
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