Search results
Results from the WOW.Com Content Network
The like terms in this expression are the terms that can be grouped together by having exactly the same set of unknown factors. Here, the sets of unknown factors are x 2 y , {\displaystyle x^{2}y,} y 2 , {\displaystyle y^{2},} and y . {\displaystyle y.} .
If there are like terms in an expression, one can simplify the expression by combining the like terms. One adds the coefficients and keeps the same variable. 4 x + 7 x + 2 x = 15 x {\displaystyle 4x+7x+2x=15x}
Consider the equation y = x 3 + 5x + 0.1. For five different values of x, the table shows the sizes of the four terms in this equation, and which terms are leading-order. As x increases further, the leading-order terms stay as x 3 and y, but as x decreases and then becomes more and more negative, which terms are leading-order again changes.
[c] For example, x 3 y 2 + 7x 2 y 3 − 3x 5 is homogeneous of degree 5. For more details, see Homogeneous polynomial. The commutative law of addition can be used to rearrange terms into any preferred order.
Therefore, let f(x) = g(x) = 2x + 1. Then, f(x)g(x) = 4x 2 + 4x + 1 = 1. Thus deg(f⋅g) = 0 which is not greater than the degrees of f and g (which each had degree 1). Since the norm function is not defined for the zero element of the ring, we consider the degree of the polynomial f(x) = 0 to also be undefined so that it follows the rules of a ...
However, there will be several terms of the form x n−2 y 2, one for each way of choosing exactly two binomials to contribute a y. Therefore, after combining like terms, the coefficient of x n−2 y 2 will be equal to the number of ways to choose exactly 2 elements from an n-element set.
Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!
A non-vertical line can be defined by its slope m, and its y-intercept y 0 (the y coordinate of its intersection with the y-axis). In this case, its linear equation can be written = +. If, moreover, the line is not horizontal, it can be defined by its slope and its x-intercept x 0. In this case, its equation can be written