Question 1
Find the zero of the polynomial in each case.
প্ৰতিটো ক্ষেত্ৰত বহুপদীৰ zero উলিয়াওক।
(i) x − 3
Solution / সমাধান :
x − 3 = 0
x = 3
👉 Zero = 3
(ii) 2x + 5
Solution / সমাধান :
2x + 5 = 0
2x = −5
x = −5/2
👉 Zero = −5/2
(iii) 3x − 7
Solution / সমাধান :
3x − 7 = 0
3x = 7
x = 7/3
👉 Zero = 7/3
(iv) 5 − x
Solution / সমাধান :
5 − x = 0
x = 5
👉 Zero = 5
🔹 Question 2
Find the zero of the polynomial 4x − 1 and verify it.
4x − 1 বহুপদীৰ zero উলিয়াই প্ৰমাণ কৰক।
Solution / সমাধান
4x − 1 = 0
4x = 1
x = 1/4
Verification / প্ৰমাণ :
Put x = 1/4 in 4x − 1
4(1/4) − 1
= 1 − 1
= 0
👉 Verified
Zero = 1/4
🔹 Question 3
Find the zero of the polynomial x + 7.
x + 7 বহুপদীৰ zero উলিয়াওক।
Solution / সমাধান
x + 7 = 0
x = −7
👉 Zero = −7
🔹 Question 4
Find the zero of the polynomial 6x − 9.
6x − 9 বহুপদীৰ zero উলিয়াওক।
Solution / সমাধান
6x − 9 = 0
6x = 9
x = 9/6
x = 3/2
👉 Zero = 3/2
🔹 Question 5
Find the zero of the polynomial −3x + 12.
−3x + 12 বহুপদীৰ zero উলিয়াওক।
Solution / সমাধান
−3x + 12 = 0
−3x = −12
x = 4
👉 Zero = 4
🌟 VERY IMPORTANT EXAM POINTS
✔ Zero means polynomial value = 0
✔ Linear polynomial has only one zero
✔ Solve like a simple equation
✔ Always verify by substitution
❌ COMMON MISTAKES
❌ Forgetting sign (±)
❌ Not verifying zero
❌ Wrong simplification