Show that the polynomial `x^2+ x + 1` has no first degree factors..

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

Write the polynomial x^2 -x -1 as a product of two first degree polynominals.

Write the polynomial x^2-3 x+2 as the product of two first degree polynomials.

Write the polynomial p(x)=x^2+7 x+12 as the product of first degree polynomials.

Write the polynomial x^2-9 x-22 as the product of two first degree polynomials.

Write the polynomial p(x)=x^2+4 x+1 as the product of two first degree polynomials. Find the solution of the equation 'p(x)=0'

Write the polynomial p(x)= x^2 - 4 as the product of two first degree polynomials.

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

Write the polynominal p(x)=x^2-4 as the product of two first degree polynominals.

What number should be added to the polynomial p(x)=x^2+x-1 , so that '(x-2)' is a factor of the new polynomial?