Algorithm to factorize polynomials with integer coefficients (Step 1 to Step 7)

Algorithm to factorize polynomials with integer coefficients (Step 1to Step 7)

Division algorithm for polynomials

Let a=cos 1^(@) and b= sin 1^(@) . We say that a real number is algebraic if is a root of a polynomial with integer coefficients. Then

If f(x) and g(x) are two polynomials with integers coefficient which vanish at x = 1 / 2, then what is the factor of HCF of f(x) and g(x) ?

Let a,b be integers and f(x) be a polynomial with integer coefficients such that f(b)-f(a)=1. Then, the value of b-a, is

What is the polynomial of the smallest degree with integer coefficients and with zero's [3,1+i,-1]

Divison Algorithm For Polynomials|Practice Problem|OMR

If (x+1)and(x-1) are the factors of x^(3)+ax^(2)-bx-2 , then find the other factor of the given polynomial. The following are the steps involved in solving the problem given above . Arrange them in the sequential order. (A) Put x = -1 in the given polynomial and obtain the equations in a and b . (B) Substitute a and b in the given polynomial. (C ) Factorize the polynomial. (D) Solve the equations in a and b .

Steps to draw a graph of a polynomial