Factorisation of Polynomials

The common factor method of factorisation for a polynomial is based on ___________ property.

Factorisation of the polynomial sqrt(3)x^(2)+11x+6sqrt(3)

The prime factorisation of 210 is

Factorise the polynomial x^(2)+7x+12 by splitting the middle term .

Using factor theorem,factorise the polynomial x^(3)+x^(2)-4x-4

If the polynomial 4x^(3)-16x^(2)+ax+7 is exactly divisible by x-1, then find the value of a. Hence factorise the polynomial.

Using the factor theorem, show that (x-2) is a factor of x^(3) +x^(2) -4x -4 . Hence factorise the polynomial completely.

Find the values of 'a' and ''b so that the polynomial x^3+ax^2+bx-45 has (x-1) and (x+5) as its factors. For the value sof 'a' and 'b', as obtained above, factorise the given polynomial completely.

(3x + 5) is a factor of the polynomial (a-1)x^(3)+(a+1)x^2-(2a+1)x-15 . Find the value of 'a'. For this value of a'. Factorise the given polynomial completely

Factorise x^(6)-1 into a linear factor and a polynomial of order 5.