# NCERT Mathematics Class 9 Exemplar Ch 2 Polynomials Part 8

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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