Question

find the value of k ,if x-1 is the factor of p(x) and p(x)=3x^2 +kx+ root 2

Answer 1

Hello mate !!

Put divisor= 0
x-1 = 0
x= 1
Hope it helps

Answer 2

Let f(x) = 3 x² + k x + √2

x - 1 is a factor of f(x)

By Factor Theorem , f(1) = 0

Put x = 1 in the question to get :

f(1) = 0

==> 3 × 1² + k × 1 +√2 = 0

==> 3 + k + √2 = 0

==> k = - √2 - 3

==> k = - ( √2 + 3 )

The value of k is - ( √2 + 3 )

Hope it helps

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