Mathematics
Using the factor theorem, show that (x - 2) is a factor of x3 + x2 - 4x - 4. Hence factorize the polynomial completely.
Related Questions
If 2x3 - 3x2 - 3x + 2 = (2x - 1)(x2 + ax + b)
(a) using Remainder and Factor theorem, find the value of ‘a’ and ‘b’.
(b) hence, factorise the polynomial 2x3 - 3x2 - 3x + 2 completely.
While factorizing a given polynomial, using remainder and factor theorem, a student finds that (2x + 1) is a factor of 2x3 + 7x2 + 2x - 3.
(a) Is the student's solution correct stating that (2x + 1) is a factor of the given polynomial ? Given a valid reason for your answer.
(b) Factorize the given polynomial completely.
If (x - 2) is a factor of 2x3 - x2 - px - 2,
(i) find the value of p
(ii) with the value of p, factorize the above expression completely.
Find the value of a, if (x - a) is a factor of the polynomial 3x3 + x2 - ax - 81.