20. Find the values of p and a so t...
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20. Find the values of p and a so that x+px+2x2-3x+q is divisible by (-1)

11th - 12th Class
Maths
Solution
98
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( f(x)=x^{4}+p x^{3}+2 x^{2}-3 x+q ) ( x^{2}-1 ) is factor & ( f(x) ) ( Rightarrow(x-1)(x+1) ) is a fator ( delta quad(x) ) ( Rightarrow quad x=1, x=-1 ) are roots of ( f(x) ) ( Rightarrow f(1)=0 quad & quad f(-1)=0 ) ( Rightarrow quad 1+p+2-3+q=0 quad & quad 1-p+2+3+q=0 ) ( Rightarrow quad p+q=0 quad 8 quad p-q=6 ) ( Rightarrow quad 2 p=6 Rightarrow p=3 ) ( Rightarrow quad q=-3 ) Hence, ( quad b=3 ) and ( q=-3 )
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