20. Find the values of p and q so t...
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20. Find the values of p and q so that x**px42x2-3x+q la divisible by (x-1).

11th - 12th Class
Maths
Solution
140
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( p(x)=x^{4}+p x^{3}+2 x^{2}+8 x+q ) 10 ( quad ) divisible by ( x^{2}-1 ) [ begin{aligned} p(1) &=(1)^{4}+p(1)^{3}+2(1)^{2}-3(1)+2 Rightarrow & 1+p+2-3+2 & 7 p+q=0 P(-1)=&(1)^{4}+p(-1)^{3}+2(-1)^{2}-3(-1)+2 Rightarrow & 1-P+2+3+q & Rightarrow 6-p+q=0 end{aligned} ] ( f sigma O m(1) &(2) quad P+q ) ( frac{6-p+q}{6+q=0} ) ( p+q=0 ) ( p-6=0 )
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