Writing a polynomial in standard form means putting the term with the highest exponent first. The other terms with lower exponents are written in descending order.
Know MoreAn example of a polynomial in standard form is x^8 + 2 x^6 + 4 x^3 + 2x^2 + 3x - 2. In this example, there are terms with exponents and a constant. In the given polynomial, "x" is a variable, and the term "x^8" has the highest exponent, which is 8. This is also called the degree of the polynomial. The next term that follows is "2x ^6," which has the lower exponent of 6. The other terms in this polynomial are in descending order when looking at the exponents.
When writing a polynomial in standard form, it is important to look at each term to identify the exponents from highest to lowest correctly. The constant term, a number by itself, goes last in the standard form of polynomials.
Learn more about AlgebraMany linear equations are given in slope-intercept form (y = mx + b), and sometimes they must be converted to standard form (Ax + By = C). Converting slope-intercept to standard form is mostly a matter of converting fractions to integers and can be done on paper in a couple minutes.
Full Answer >The slope-intercept form of an equation is written as y - y1 = m(x - x1). The variable m indicates the value of the slope, and the values for y1 and x1 equal the coordinates at a given point on the line.
Full Answer >Factoring completely is an algebraic process that incorporates the three common factoring techniques: the greatest common factor, trinomials and the difference between two squares. These techniques by themselves often factor a polynomial into a single pattern, while factoring completely utilizes them together to simplify an expression as much as possible.
Full Answer >The leading coefficient is the number that multiplies a variable to the highest degree in the expression. Because polynomials are arranged by degree from highest to lowest, the leading coefficient is the first number that appears in the expression, unless the coefficient is 1.
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