Mathematics
Using factor theorem, show that (x - 2) is a factor of x3 + x2 - 4x - 4. Hence, factorise the polynomial completely.
Related Questions
Without actual division, prove that x4 + 2x3 - 2x2 + 2x - 3 is exactly divisible by x2 + 2x - 3.
Show that (x - 2) is a factor 3x2 - x - 10. Hence, factorize 3x2 - x - 10.
Show that 2x + 7 is a factor of 2x3 + 5x2 - 11x - 14. Hence, factorise the given expression completely, using the factor theorem.
Use factor theorem to factorise the following polynomials completely :
(i) x3 + 2x2 - 5x - 6
(ii) x3 - 13x - 12
(iii) 6x3 + 17x2 + 4x - 12