#class10

Factor and Remainder theorem

1.  Remainder theorem

If a polynomial f(x) is divided by (x – α) then remainder = f(α)

Example: Find the remainder (Without division) on dividing f(x) by (x + 3) where f(x) = 2x2 – 7x – 1

Solution:-

X + 3 = 0    or,  x = -3

put x = -3 in f(x)

f(-3) = 2(-3)(-3) – (-3) – 1 = 20

Hence, remainder is 20.

2. Factor theorem

(x- α) is a factor of the polynomial f(x) if and only if f(α) = 0

Example: Show that (x – 5) is factors of f(x) where f(x) = 2x2 – 11x + 5.

Solution:-

x – 5 = 0   or, x = 5

put x = 5 in f(x)

f(5) = 2(5)(5) – 11(5) + 5 = 50 – 50 = 0

Hence (x – 5) is the factor.

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Good news for CBSE Class 10 and 12 students! The board has extended the deadline for Verification of Marks, answer sheet photocopies, and revaluation applications until June 7, 2026 (midnight).

Students who are not satisfied with their scores should review the available options carefully before applying. Remember, verification checks for calculation errors, while revaluation can result in marks increasing or decreasing.

⏰ The application window closes tomorrow night.

three modes because one size doesn't fit all:

mode 1 — you have grades (A1, B2 etc.) just select from dropdown → done ✨

mode 2 — you only have marks (like 88, 75, 92) enter the numbers → calculator assigns grades automatically you don't have to do anything extra 🙌

mode 3 — you already know your CGPA just enter it → get percentage instantly (formula: CGPA × 9.5, not × 10 please 😭)

also shows you: → subject-wise breakdown → performance label (outstanding/excellent/very good…) → copy button so you can share with parents lol → warning if you failed any subject ⚠️

𝐒𝐩𝐚𝐫𝐬𝐡 𝐈𝐧𝐭𝐞𝐫𝐧𝐚𝐭𝐢𝐨𝐧𝐚𝐥 𝐒𝐜𝐡𝐨𝐨𝐥 𝐰𝐢𝐬𝐡𝐞𝐬 𝐚𝐥𝐥 𝐨𝐮𝐫 𝐂𝐥𝐚𝐬𝐬 𝟏𝟎 𝐬𝐭𝐮𝐝𝐞𝐧𝐭𝐬 𝐭𝐫𝐞𝐦𝐞𝐧𝐝𝐨𝐮𝐬 𝐬𝐮𝐜𝐜𝐞𝐬𝐬 𝐢𝐧 𝐭𝐡𝐞𝐢𝐫 𝐁𝐨𝐚𝐫𝐝 𝐄𝐱𝐚𝐦𝐬. 📚

Your hard work, perseverance, and dedication have led you to this important milestone. Walk into your exam hall with confidence, clarity, and courage.

Believe in your abilities, trust your preparation, and give it your very best.

You are ready to shine! ✨

Blessing Ceremony 2025–26 | Inspiring Our Future Achievers

At BLS World School, Greater Noida West, emotions, encouragement, and inspiration came together in a beautiful Blessing Ceremony for our Class X and XII students — Batch 2025–26.

As our students stand at the threshold of their board examinations, the atmosphere was filled with positivity and confidence. It was a moment of reflection, gratitude, and motivation before stepping into one of the most important academic milestones of their journey.

Our respected Principal Ms. Sushma Punia, Foundation Head Ms. Anju Jaggi, Headmistress Ms. Debasree Nayek, and Sports Director Ms. Reetu Choudhary, along with our dedicated teachers, shared heartfelt blessings and meaningful words of wisdom.

Their guidance reminded students to stay focused, stay disciplined, and most importantly, believe in themselves.

At BLS World School, we believe education goes beyond books — it builds character, confidence, and a vision for the future.