Prove that `x^2+2x+2` cannot be written as the product of first degree polynomials.

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.

What is the maximum value of 'k', for which the polynomial x^2-x+k can be written as a product of two first degree polynomials?

What is the smallest natural number k for which the polynomial 2 x^2+k x+6 can be written as a product of two first degree polynomials? Write down the polynomial using 'k' and express it as the product of two first degree polynomials.

Write 2x^2+5x+3 as a product of two first degree polynomials.

Write 2 x^2-7 x+6 as the product of two 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^2-9x-22

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