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Video: Remainder Theorem of Polynomials (Old Syllabus) Video Lecture | Crash Course: Class 9

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FAQs on Video: Remainder Theorem of Polynomials (Old Syllabus) Video Lecture - Crash Course: Class 9

1. What is the Remainder Theorem of Polynomials?
The Remainder Theorem of Polynomials states that if a polynomial function P(x) is divided by (x - a), then the remainder of the division is equal to P(a). In simpler terms, when we divide a polynomial by (x - a), the remainder we get is the value of the polynomial when we substitute x = a.
2. How do you use the Remainder Theorem to find the remainder of a polynomial division?
To use the Remainder Theorem to find the remainder of a polynomial division, substitute the value of the divisor (x - a) into the polynomial function. Evaluate this expression to find the remainder.
3. Can the Remainder Theorem be used to find the quotient of a polynomial division?
No, the Remainder Theorem only allows us to find the remainder of a polynomial division. To find the quotient, we need to perform the long division or synthetic division process.
4. How can the Remainder Theorem be applied in real-life situations?
The Remainder Theorem can be applied in various real-life situations. One example is in finance, where it can be used to calculate the remaining balance of a loan or investment. In physics, it can help determine the remainder energy of a system after certain processes. The theorem also finds applications in engineering, computer science, and other fields.
5. Are there any limitations to the Remainder Theorem?
Yes, there are some limitations to the Remainder Theorem. It can only be applied when dividing by a linear factor of the form (x - a). Additionally, the theorem assumes that the divisor is not equal to zero, and the polynomial function is defined for all real numbers.
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