Question

Find the value of k if x-1 os a factor of p(x)=kx^2-root2+1

Answer 1

ANSWER:

$p(1)=0\\p(x) = kx - \sqrt2 + 1\\=k(1) - \sqrt2 + 1 = 0\\k-\sqrt2 = -1\\k= -1 + \sqrt2\\= \sqrt2 - 1$