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.


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.


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

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

Q.5. Simplify


Q.6. Multiply by


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

Q.8. If and, then prove that

Q.9. Prove that