Polynomial one shot || class 10 chapter 2 || complete chapter || Anurag Chandra Tiwary

Polynomials one shot || class 10 chapter 2 || complete chapter || Anurag Chandra Tiwary Hand written + PDF notes are available on the given link 🔗 https://air.ifpshare.com/documentPrev... • Introduction to Polynomials (0:00-3:35): • The video starts by introducing polynomials as algebraic expressions with multiple terms. • It defines the general form of a polynomial and explains concepts like degree and coefficients. • Key conditions for a polynomial, such as non-negative and non-fractional powers, are discussed. • Types of Polynomials (3:37-5:22): • The lecture classifies polynomials based on their degree, including: • Linear Polynomials (4:01-4:27): Degree one (e.g., ax + b). • Quadratic Polynomials (4:29-4:54): Degree two (e.g., ax² + bx + c), highlighted as the most important type for the chapter. Cubic Polynomials (4:56-5:22): Degree three (e.g., ax³ + bx² + cx + d). • Values and Zeros of Polynomials (5:24-7:29): • The instructor explains how to find the value of a polynomial for a given x. • The concept of zeros of a polynomial is introduced as the values of x for which the polynomial evaluates to zero. • Geometrical Meaning of Zeros (Exercise 2.1) (7:30-9:55): • This section visually explains zeros, stating that the number of zeros corresponds to how many times the graph of the polynomial intersects or touches the X-axis. • Several examples are provided to illustrate how to determine the number of zeros from a graph. • Relation Between Zeros and Coefficients (Exercise 2.2) (9:56-13:34): • The video delves into the crucial relationships between the zeros (roots) and the coefficients of polynomials. For quadratic polynomials (11:17-12:16), two relations are established: sum of zeros (α + β = -b/a) and product of zeros (αβ = c/a). • For cubic polynomials (12:17-13:34), three relations involving sums and products of zeros (α+β+γ, αβ+βγ+γα, αβγ) are detailed. • Solving Problems (Quadratic Polynomials) (13:35-21:46): • A step-by-step example demonstrates how to find the zeros of a quadratic polynomial by factorization and then verify the relationship between these zeros and the coefficients (13:38-16:57). • Further applications involve using the sum and product of zeros to solve expressions like α² + β², α³ + β³, 1/α + 1/β, and α/β + β/α (16:58-21:46). • Forming Quadratic Polynomials from Zeros (21:47-23:36): • The final topic shows how to construct a quadratic polynomial when its zeros (α and β) are given, using the formula: k[x² - (α + β)x + αβ]. An example is provided to illustrate this process. This is- ●ANURAG CHANDRA [B.tech (mechanical) MBA (HR)] ● Ex faculty in Allen career Institute, kota (2021-23) Motion education pvt. Ltd. (2020-21) Doubt educator on unacademy Takshila classes, Delhi (2019-20) Toppers education, (2015-19) ●For any doubts or query, Ping me on- •WhatsApp no-7000373039 •Contact no- 8878319023 Follow me on my social sites- Mail [email protected] • For all chapters notes, follow my whatsApp channel- link 🔗 as: https://whatsapp.com/channel/0029VbBv... • For all chapters notes, follow my telegram channel- link 🔗 as: https://t.me/+QbqpPv2k5lAyZTll #class10th #class10maths #polynomial #oneshotrevision #polynomials #polynomialsclass10 #cbseboard #education #nonfollowers #trending #viralvideo #motivation #anuragchandratiwary #tre4 #anuragchandra # #oneshot #maths #class10 #class10thmaths #class10ncertmath #polynomial10cbse #bahupad