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

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

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

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

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 f(x)={(a+bx,x 1):} and lim_(xrarr1)f(x)=f(1) , then find the value of a and b.

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 ?'

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).

The function y = (ax + b)/((x - 1)(x - 4)) has turning point at P(2, -1). Then find the values of a and b.

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.