What Is The Remainder Theorem

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What Is The Remainder Theorem
What Is The Remainder Theorem


What Is The Remainder Theorem -

The Polynomial Remainder Theorem allows us to determine whether a linear expression is a factor of a polynomial expression easily It tells us the remainder when a polynomial is divided by x a is f a

What is the Remainder Theorem The remainder theorem states that when a polynomial p x is divided by a linear polynomial x a then the remainder is equal to p a The remainder theorem enables us to calculate the remainder of the division of any polynomial by a linear polynomial without actually carrying out the steps of the long division

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The Remainder Theorem tells us that in order to evaluate a polynomial p x at some number x a we can instead divide by the linear expression x a The remainder r a gives the value of the polyomial at x a

The Polynomial Remainder Theorem simplifies the process of finding the remainder when dividing a polynomial by x a Instead of long division you just evaluate the polynomial at a

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Remainder theorem checking factors Learn how to determine if an expression is a factor of a polynomial by dividing the polynomial by the expression If the remainder is zero the expression is a factor The video also demonstrates how to quickly calculate the remainder using the theorem

The remainder theorem states if you divide a polynomial hspace 0 2em P x hspace 0 2em P x by hspace 0 2em x a hspace 0 2em x a the remainder would be hspace 0 2em P a hspace 0 2em P a

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Remainder Theorem Polynomials Statement Proof Examples

https://www.cuemath.com/algebra/remainder-theorem
What is the Remainder Theorem The remainder theorem states that when a polynomial p x is divided by a linear polynomial x a then the remainder is equal to p a The remainder theorem enables us to calculate the remainder of the division of any polynomial by a linear polynomial without actually carrying out the steps of the long division

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The Remainder Theorem When we divide f x by the simple polynomial x c we get f x x c q x r x x c is degree 1 so r x must have degree 0 so it is just some constant r f x x c q x r Now see what happens when we have x equal to c f c c c q c r f c 0 q c r f c r So we get this

What is the Remainder Theorem The remainder theorem states that when a polynomial p x is divided by a linear polynomial x a then the remainder is equal to p a The remainder theorem enables us to calculate the remainder of the division of any polynomial by a linear polynomial without actually carrying out the steps of the long division

The Remainder Theorem When we divide f x by the simple polynomial x c we get f x x c q x r x x c is degree 1 so r x must have degree 0 so it is just some constant r f x x c q x r Now see what happens when we have x equal to c f c c c q c r f c 0 q c r f c r So we get this

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