Polynomials

Introduction Of polynomials

A polynomial is a mathematical expression and it consist of a addition of terms. Each term may contains of a variables and variables with raised powers. The example of a polynomial is as follows:

AX ³ + BX ² + CX, AX ³ + BY²
The operations that are performed on the polynomials are,

• Adding Polynomials,
• Subtracting Polynomials,
• Multiplying Polynomials, and
• Dividing Polynomials.

Addition of Polynomials:

We add two polynomials adding the coefficients of the like powers.

Example :

Find the sum of Polynomials - 2x⁴ – 4x² + 6x + 3 and 4x + 6x³ – 6x² – 1.

Solution:

(-2x⁴ – 4x² + 6x + 3) + (6x³ – 6x² + 4x – 1) = - 2x⁴ + 6x³ – 4x² – 6x² + 6x + 4x + 3 – 1

(By using distributive and associative property)

= - 2x⁴ + 6x³ – (4 + 6) x² + (6 + 4) x + 2 (By arranging the coeeficient of same exponent)

= - 2x⁴ + 6x³ – 10x² + 10x + 2 (Adding the coefficient of coresponding exponent)
Answer of the given polynomial: - 2x⁴ + 6x³ – 10x² + 10x + 2