Formation of Polynomials - Class 10 Math || #Pioneer || LIVE || Misbah || Infinity Learn Class 9&10

TL;DR

Learn how to form polynomials when given the sum and product of zeros, focusing on quadratic polynomials.

Transcript

hello everybody Welcome to the live session by Infinity learn by SRI chaitanya I am Miss bio maths educator and in this class we are going to learn how to form polynomials when sum of zeros and product of zeros is given to you basically we will specifically uh concentrate on quadratic polynomials but obviously it can be done with cubic polynomials ... Read More

Key Insights

• 0️⃣ Vieta's formula provides a relationship between the zeros and coefficients of a polynomial.
• 0️⃣ The discriminant of a quadratic polynomial determines if it has real zeros.
• 0️⃣ There are infinite polynomials with the same zeros, but with different coefficients.

Questions & Answers

Q: How can you find the value of a polynomial when the sum and product of zeros are given?

To find the value, you need to use Vieta's formula, where the sum of zeros is equal to -B/A and the product of zeros is equal to C/A.

Q: Can you find the zeros of a polynomial with a negative discriminant?

If the discriminant of a quadratic polynomial is negative, it means that the polynomial doesn't have any real zeros. However, you can still find the zeros in terms of Alpha and Beta using Vieta's formula.

Q: Are there multiple quadratic polynomials with the same zeros?

Yes, there are infinite quadratic polynomials with the same zeros. This is because you can multiply the polynomial by any non-zero real number to get different expressions while maintaining the same zeros.

Q: How can you find a polynomial when the zeros are given as fractions?

To find a polynomial with zeros as fractions, you can use the same method as before and substitute the fractions for the values of Alpha and Beta.

Summary & Key Takeaways

• The content discusses the formation of polynomials when the sum and product of zeros are given.

• It explains the relationship between the zeros and coefficients of polynomials using Vieta's formula.

• The video demonstrates the process of finding the value of a polynomial with given zeros and provides examples for better understanding.