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?

p(x)=(x+2)(x-3) + k ,(x-2) is a factor of p(x):- Find 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 x^2+2x+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?

What number should be added to the polynomial x^3-2 x^2+x-4 to get (x-2) as a factor of the polynomial?

If x^2+x+2=(x-2)(x+a)+b a) Find 'a' and 'b'. b) What number should be added to x^2+x+2 to get a polynomial having a factor '(x+3)'

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 p(x)= 3 x^ 2 − a x + 1 and we want p(1) =2 what number should we take in the place of a?

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

p(x)=x^2-4 x+4 a) Prove that (x-2) is a factor of p(x) . b) Prove that for any number x , p(x) is always non negative.