🔹 Question 1

Verify whether the following are zeros of the polynomial or not.
তলত দিয়া মানবোৰ বহুপদীৰ zero হয় নে নহয় প্ৰমাণ কৰক।

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(i) Polynomial: f(x) = x² − 4

Check whether 2 is a zero.

Solution / সমাধান :
f(2) = 2² − 4
= 4 − 4
= 0

👉 Yes, 2 is a zero of the polynomial.
👉 হয়, 2 এই বহুপদীৰ zero।

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(ii) Polynomial: f(x) = x² + x − 6

Check whether 2 is a zero.

Solution / সমাধান :
f(2) = 2² + 2 − 6
= 4 + 2 − 6
= 0

👉 Yes, 2 is a zero.

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(iii) Polynomial: f(x) = 3x − 5

Check whether 5/3 is a zero.

Solution / সমাধান :
f(5/3) = 3(5/3) − 5
= 5 − 5
= 0

👉 Yes, 5/3 is a zero.

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(iv) Polynomial: f(x) = x + 4

Check whether −4 is a zero.

Solution / সমাধান :
f(−4) = −4 + 4
= 0

👉 Yes, −4 is a zero.

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🔹 Question 2

Find the zero of the polynomial using graph (conceptual understanding).
গ্ৰাফৰ সহায়ত বহুপদীৰ zero বুজাওক।

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Explanation (Easy Language):

• Draw the graph of the polynomial.
• The point where the graph cuts the x-axis is called the zero.
• Because at x-axis, y = 0.

সহজকৈ:
গ্ৰাফে য’ত x-axis কাটে, সেই x-ৰ মানেই বহুপদীৰ zero।

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Example:

For polynomial y = x − 2

• Graph cuts x-axis at x = 2
• So, zero = 2

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🌟 VERY IMPORTANT EXAM POINTS

✔ Zero means f(x) = 0
✔ Always substitute given value
✔ Quadratic polynomial can have two zeros
✔ Linear polynomial has one zero