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- The Remainder Theorem states that:
- When a polynomial p (x) is divided by a linear polynomial (x - a), the remainder is equal to p (a)123.
- It allows us to calculate the remainder of the division of any polynomial by a linear polynomial without performing long division1.
- The remainder is obtained by substituting r (x) = f (a) into the polynomial f (x)2.
Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.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.www.cuemath.com/algebra/remainder-theorem/The Remainder Theorem states that if a polynomial f (x) of degree n (≥ 1) is divided by a linear polynomial (a polynomial of degree 1) g (x) of the form (x – a), the remainder of this division is the same as the value obtained by substituting r (x) = f (a) into the polynomial f (x).mathmonks.com/remainder-theoremThe remainder theorem states that when we divide a polynomial p (x) having a degree greater than or equal to 1 by a linear polynomial (x − a), the remainder is given by r (x) = p (a). In simple words, if p (x) = (x − a) q (x) + r (x), then r (x) = p (a).www.splashlearn.com/math-vocabulary/remainder … - People also ask
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