polynomialis used more generally.
Just like numbers, polynomials are closed under addition and subtraction. This means, polynomials can be added and subtracted and the result is another polynomial. These operations are performed by combining like terms. Terms with the same variable and exponent are combined by adding or subtracting their coefficients.
Find the sum of the following polynomials.To add these polynomials, like terms will be combined. It can be helpful to rearrange terms so that like terms are next to each other.
Calculate the difference between the polynomials.
Polynomials are multiplied by using the Distributive Property. For example, for the polynomial product it is possible to distribute to every term of Then, by using the Distributive Property once more, the product can be expressed explicitly. When multiplying two polynomials, each term of the first polynomial multiplies with each term of the second one. This have some important consequences:
Find the product of the polynomials and by distributing to each term in Then, determine the degree of the resulting polynomial. It can be seen that since both polynomials have terms, multiplying them results in products. Nevertheless, it can be simplified by combining like terms. It can also be noted that the polynomial its of degree and the polynomial its of degree When written in standard form, their product is This is a polynomial of degree
Find a polynomial that represents the area of the rectangle.