Prove that none of the polynomials below can be factored into a product of first degree polynomials:-`x^2+x+1`.

Prove that none of the polynomials below can be factored into a product of first degree polynomials:- x^2+2x + 2 .

Prove that none of the polynomials below can be factored into a product of first degree polynomials:- x^2+4x +5 .

Prove that the polynomial x^2 + x + 1 can not be written as a product of first degree polynomials.

Prove that the polynomial. x^2+4 x+5 cannot be written as a product of first degree polynomials.

Write the following as the product of first degree polynomials:- x^2+3x+2 .

Write the following as the product of first degree polynomials:- 2x^2+5x-3 .

Write the following as the product of first degree polynomials:- x^2+7x+12 .

Write the second degree polynomials given below as the product of two first degree polynomials:- x^2-x-1 .

Write the second degree polynomials given below as the product of two first degree polynomials:- x^2- 20x + 91 .

Write the second degree polynomials given below as the product of two first degree polynomials:- x^2- 20x + 51 .