The polynomial p(x) = x⁴ – 2x³ + 3x² – ax + 3a – 7 when divided by x + 1 leaves the remainder 19. Find the values of a. Also find the remainder when p(x) is divided by x + 2.

Question

TextRemainder Theorem for PolynomialsNCERT Exemplar

Loading...

If x⁵¹ + 51 is divided by x + 1, the remainder is

Check whether p(x) is a multiple of g(x) or not, where p(x) = x³ – x + 1, g(x) = 2 – 3x

By Remainder Theorem find the remainder, when p(x) is divided by g(x), where

CASE_STUDIESRemainder Theorem for Polynomials

Check whether p(x) is a multiple of g(x) or not:

If the polynomials az³ + 4z² + 3z – 4 and z³ – 4z + a leave the same remainder when divided by z – 3, find the value of a.

Without actually dividing, find the remainder when x⁴ + x³ − 2x² + x + 1 is divided by x − 1, and justify your answer.