Question

if (x + 1) is a factor of p(x) = k * x ^ 2 - 2sqrt(2) * x + sqrt(2) then value of k is​

Answer 1

Answer:

Step-by-step explanation:

Given that,

Let p ( x )= kx² - 2√2x + √2 = 0

If ( x+ 1 ) is the factor of p ( x ), then x + 1 = 0 ⇒ x = - 1.

On substituting " x = - 1 " in p ( x )

p ( - 1 ) = k ( - 1 )² - 2√2 ( - 1 ) + √2 = 0

⇒ k + 2√2 + √2 = 0 ( ∵ - × - = + )

⇒k + 3√2 = 0

⇒ k = - 3√2 is the answer.