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Defining Remainder Theorem
Everyone loves to find a shortcut whether it involves driving directions or some other type of long task. Discovering a quicker and more efficient way to arrive at the same end point makes you feel good since you've most likely saved time, effort, and/or money. Math is filled with these types of shortcuts and one of the more useful ones is the remainder theorem.
The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x - a, the remainder of that division will be equivalent to f(a). In other words, if you want to evaluate the function f(x) for a given number, a, you can divide that function by x - aand your remainder will be equal to f(a).
It should be noted that the remainder theorem only works when a function is divided by a linear polynomial, which is of the form x + number or x - number. How does the remainder theorem save you time? Let's find out.
Everyone loves to find a shortcut whether it involves driving directions or some other type of long task. Discovering a quicker and more efficient way to arrive at the same end point makes you feel good since you've most likely saved time, effort, and/or money. Math is filled with these types of shortcuts and one of the more useful ones is the remainder theorem.
The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x - a, the remainder of that division will be equivalent to f(a). In other words, if you want to evaluate the function f(x) for a given number, a, you can divide that function by x - aand your remainder will be equal to f(a).
It should be noted that the remainder theorem only works when a function is divided by a linear polynomial, which is of the form x + number or x - number. How does the remainder theorem save you time? Let's find out.
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