Prove that the polynomial below can not be factored into a product of first degree polynomials.
`x^2+k+1`

A polynomial of degree n has

The degree of a linear polynomial is

The degree of a linear polynomial is

What is the degree of constant polynomial ?

Find zero of the polynomial 2x -1.

Find the zero of the polynomial : x^(2) + 2x + 1.

If two zeros of a quadratic polynomial are equal in magnitude but opposite in sign and their product is -25, the polynomial is

(i) Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: t^2-3,2t^4+3t^3-2t^2-9t-12 (ii) Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial x^2+3x+1, 3x^4+5x^3-7x^2+2x+2 (iii) Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: x^3-3x+1, x^5-4x^3+x^2+3x+1

Write the degree of each of the following polynomials. 3