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 More
An 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 Algebra
Many 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 >
A monic polynomial is a mathematical expression that consists of coefficients and a single variable, with the leading coefficient equal to one. The leading coefficient is found in the term that contains the variable with the highest degree or exponent.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.Full Answer >