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

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

Given that x^(2)+x-6 is a factor of 2x^(4)+x^(3)-ax^(2)+bx+a +b-1 , find the values of a and b.

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

Given x-1 is a factor of x^2+ax+b .Prove that (a+b= -1) .

p(x)= ax^2+bx+5 :- Find p(1).

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?

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.

Consider the polynomial p(x)=x^3+a x^2-x+b a) Find the relation bétween 'a' and 'b' if (x-1) is a factor of p(x) b) What is the relation between 'a' and 'b' if (x-2) is a factor of p(x) ? c) Find a and 'b' so that both (x-1) and (x-2) are factors of p(x).

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

p(x)= ax^2+bx+5 :- If (x^2-1) is a factor of p(x),then find the value of a and b?