Factorise `3x^2+5x+2` completely.

Factorise x^2 - 4

Factorise x^2 - 6x + 8 into linear factors.

Factorise x^2-2 x+1 into first degree polynomials.

Factorise x^3 - 6x^2 + 11x - 6 into two factors so that one factor is x - 2.

Given the function f (x) = {-x^2 if xleo , 5x-4 if 0ltxle1 , 4x^2-3x if 1ltxlt2 , 3x+4 if xge2 Complete the following table

Consider the function f (x) = (x^2 - 9)/(x-3), x ne 3 complete the following table

Solve x^2+3x+5=0

The quotient is x^2-5x+6 when the polynomial p(x) is divided by (x-1), and the remainder is 7.Then:- p(x)=(.....) (……...)+7.Complete it.