Mathematics
Show that (3x + 2) is a factor of (6x3 + 13x2 - 4) and hence factorize (6x3 + 13x2 - 4).
Related Questions
Using factor theorem, show that (x - 4) is a factor of (2x3 + x2 - 26x - 40) and hence factorize (2x3 + x2 - 26x - 40).
Show that (x - 3) is a factor of (2x3 - 3x2 - 11x + 6) and hence factorize (2x3 - 3x2 - 11x + 6).
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.