Zeroes of a Polynomial

🎥 Video Explanation

🇮🇳 Hindi Explanation

🇬🇧 English Explanation

📊 Infographic Summary

Infographic Summary

1. Zero of a Polynomial Kya Hota Hai? 🤔

Simple language mein: Variable (x) ki wo value, jise put karne par poora polynomial Zero (0) ban jaye.

🔫 Story Time: The Silencer

Imagine karo ek shor machane wala machine (Polynomial) hai. Hamein ek aisa button (Value of x) dhundhna hai, jise dabate hi machine shant ho jaye (Value 0 ho jaye).

Uss button ko hum Zero of the Polynomial kehte hain.

✔ Example:

Polynomial: p(x) = x - 2

Agar hum x = 2 put karein:

p(2) = 2 - 2 = 0

Example 1: Find zero of p(x) = 2x + 1

  1. Put 2x + 1 = 0
  2. 2x = -1
  3. x = -1/2

Check x = 0:

(0)² - 2(0) = 0 - 0 = 0 ✅ (Yes, it is a zero)

📝 Exercise Questions

Khud try karein! Neeche diye gaye questions solve karein.

Q1: Find the zero of p(x) = x - 5

Show Answer

Put x - 5 = 0

x = 5

Q2: Find the zero of q(x) = 3x + 4

Show Answer

Put 3x + 4 = 0

3x = -4

x = -4/3

Q3: Verify if x = -1 is a zero of p(x) = x + 1

Show Answer

Put x = -1 in p(x)

p(-1) = -1 + 1 = 0

Yes, it is a zero.

🚀 Next Steps

Zeroes nikaalna seekh liya? Great! Ab next lesson mein hum seekhenge ki polynomials ko Factorise kaise karte hain.

Next Topic: Factorisation of Polynomials →