# NCERT Mathematics Class 9 Exemplar Ch 2 Polynomials Part 8 (For CBSE, ICSE, IAS, NET, NRA 2023)

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**Exercise 2.4**

Q. 1. If the polynomials and leave the same remainder when divided by , find the value of a.

Answer:

Q. 2. The polynomial when divided by leaves the remainder 19. Find the values of a. Also find the remainder when p (x) is divided by .

Answer:

Q. 3. If both and are factors of , show that

Q. 4. Without actual division, prove that is divisible by

Q. 5. Simplify

Answer:

Q. 6. Multiply by

Answer:

Q. 7. If a, b, c is all non-zero and , proves that

Q. 8. If and , then prove that

Q. 9. Prove that