Q4 of 64 Page 49

The product of two polynomials is 6x3 + 29x2 + 44x + 21 and one of the polynomials is 3x + 7. Find the other polynomial.

Here p(x) = the dividend polynomial = 6x3 + 29x2 + 44x + 21


s(x) = the divisor polynomial = 3x + 7


Now,



∴ The quotient polynomial q(x) = 3x + 7 and the remainder polynomial r(x) = 0.


∴ The other polynomial is 2x2 + 5x + 3


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