There are four main polynomial operations.
- Polynomial Addition - To add polynomials, always add the same term. Terms with the same variables and power. Adding polynomials always results in a polynomial of the same degree.
- Polynomial Subtraction - Polynomial subtraction is similar to addition, the only difference is the type of operation. So we subtract the same terms to get the solution.
- Polynomial Multiplication - Multiplying two or more polynomials always yields a higher degree polynomial (unless one of them is a constant polynomial).
- Division of Polynomials - The division of two polynomials may or may not result in polynomials.
If α, β be the zeros of the polynomial 2x2 + 5x + k such that α2 + β2 + αβ = 21/4 then k =? (A) 3 (B) -3 (C) -2 (D) 2
If α, β be the zeros of the polynomial 2x2 + 5x + k such that α2 + β2 + αβ = 21/4 then k = 2. Polynomial is made up of two terms, where Poly (means “many”) and Nominal (means “terms.”). The polynomial 2x2 + 5x + k indicates the addition operation.