: If (x-1) is a factor of k(x^2)-√2 x+1 , then value of k is
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Answer:
k= -(√2-1)/2
Step-by-step explanation:
p(x)=kx^2-√2x+1
g(x)=x+2=>x=-2
Thus,
p(x)=p(-2)
=>p(-2)=k(-2)^2-√2(-2)+2
=>4k+2√2+2=0
=>2k+√2+1=0
=>2k=-(√2+1)
=>k= -(√2-1)/2
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