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

a) Find 'p(1)' if p(x)=x^2+2 x+5 b) If (x-1) is a factor of x^2+2 x+k , what number is 'k ?'

p(x)=(x+2)(x-3) + k ,(x-2) is a factor of p(x):- Which number should be added to p(x) to make (x+3)a factor of it?

If (x-1) is to be a factor of p(x) = a^2x^2-4ax + 4a-1 .What should be the value of ‘a’ ?

Consider the polynomial p(x)=a x^3-x^2-b x-1 a) Find 'p ( 1 )' b) What is the relation between a and 'b' if 'x-1' is a factor of 'p(x) ?' c) What is the relation between a and b if 'x+1' is a factor of 'p(x) ?' d) Will 'p(x)' have both '(x+1)' and '(x-1)' as a factors for any number a and b? Justify.

If P(x)=2x^2-3x+1 ,then What number is P(1) ?

If (x-1) is a factor of the polynomial 5 x^3-4 x^2+x-k , what number is 'k' ?

p(x)=(x+2)(x-3) + k ,(x-2) is a factor of p(x) :- p(x) Examine whether (x+1) is a factor of p(x).

If x-1 is a factor of the polynomial 5x^3-4x^2+x-k ,what number is k?

If (x+1) and (x -1) are factors of x^3+2x^2 + px + q , find p and q.

In the polynomial x^2+k x+6 , what number must be taken as 'k' to get a polynomial for which 'x-1' is a factor? Find also the other factor of that polynomial.