1.

Find the value of k, if x – 1 is a factor of p(x) in p(x) = kx^2-√2x+1

Answer» ONG>ANSWER:

\boxed{k=\sqrt{2}-1}

Step-by-step EXPLANATION:

p(x)=kx^2-\sqrt{2}x+1 \\\\ x-1 \ is \ a \ factor \\ =>x-1=0\\=>x=+1 \\\\ Put \ x=1,\\ kx^2-\sqrt{2}x+1=0 \\ k(1)^2-\sqrt{2}(1)+1=0 \\ k-\sqrt{2}+1=0 \\ k=\sqrt{2}-1



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