Consider the polynomial p(x)= `x^2-5x+6`:- Find the remainder when p(x) is divided by (2x-1).

Consider the polynomial P(x)=ax^3-x^2-bx-1 .Find P(1) .

Find the remainder when x^3- 4x^2+12x -45 is divided by (x-2) ?

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).

Consider the polynomial p(x)= x^2-5x+6 :- Is (2x-1)a factor of p(x)? Why?

Consider the polynomial P(x)= x^2-kx-7 :- IfP(1) = 3, Find the value of k.

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

Consider the polynomial P(x)=ax^3-x^2-bx-1 .What is the relation between a and b if x-1 is a factor of P(x) ?

Consider the polynomial P(x)=ax^3-x^2-bx-1 .What is the relation between a and b if x+1 is a factor of P(x) ?

What is the remainder when the polynomial(x-1)(x-2)(x-3)is divided by (x-1)?