To subtract polynomials, you should first recognize that polynomials are algebraic expressions consisting of variables raised to non-negative integer powers, and coefficients. Subtracting one polynomial from another essentially involves dealing with each like term individually. The process is to align corresponding terms, change the signs of the terms of the polynomial being subtracted, and then […]

# Category Archives: Algebra

To classify the polynomial equations, I always start by observing the terms. A term consists of a coefficient and a variable raised to a power, which is referred to as its degree. A polynomial might have one or multiple terms, each made distinct by their coefficients or exponents. For instance, in the polynomial $7x^2 + […]

The sum of polynomial functions is the result of adding two or more polynomial expressions, which are algebraic expressions that include variables and coefficients. Polynomials are added by combining like terms, terms that have the same variables raised to the same powers. For example, to add the polynomials $f(x) = 4x^2 + 3x – 5$ […]

To add and subtract polynomials, I first ensure that each term is identified. A polynomial equation consists of one or more terms, where each term includes a coefficient (a numerical part), variable(s), and exponent(s). When adding or subtracting these mathematical expressions, I combine like terms, which are terms with the same variables raised to the […]

To long-divide the polynomial functions, you should first understand both the structure of polynomials and the long-division process used with numerical digits. Polynomial long division is a procedure for dividing a polynomial by another polynomial of equal or lower degree. It involves writing the dividend and divisor in descending exponent order and then following a […]