Question

using factor theorem factorise 2a^4+a^3-14a^2-19a-6

Answer 1

Let x be -1
p(x)= 2a^4 + a^3 - 14a^2 - 19a-6
p(-1)= 2(-1)^4 - (-1)^3 - 14(-1)^2 - 19(-1) - 6
        = 2 - 1 - 14 + 19 - 6
        = 21 - 21
        = 0