If (x-1) is a factor of `x^2 + 2x+k.` What number is k?

If x - 1 is a factor of x^(5) - 4x^(3) +2 x^(2) - 3x + k = 0 then k is

Find the value of k, if (x-1) is a factor of p(x) in each of the following cases: (i) p(x) = x^2+x+k (ii) p(x)=2x^2+kx+sqrt2 (iii) p(x) =kx^2-sqrt2x+1 (iv) p(x) = kx^2-3x+k

If x+y= k is a normal to y^(2) = 12x , then k =

Find k so that x^(2) +2x + k is a factor of 2x^(4) + x^(3) - 14 x^(2) + 5x + 6 . Also find all the zeros of the two polynomials.

Find the value of k if x-1 is the factor of P(x)=2x^(2)+kx+sqrt(2)

Find the value of k if x-1 is the factor of P(x) =kx^(2)-sqrt(2)x+1

If y=2 x+k is a tangent to y^(2)=8 x, then k=

If x+y=k is normal to y^(2)=12x then k is

If zeros of f(x) = x^(3) - 12 x^(2) + 39 x + k are in AP, find k.

What is the value of k if the equation x^(2) +4x +(k +2) = 0 has one root equal to zero .