Answer:
(x + 5) is the Factor of (2x ^ 2 + 9x ^ 2 - 11x - 30)
the Cubic Equation.
Find:
Since, (x + 5) is the Factor.
Hence, (x + 5) = 0
=) x = - 5
Now,
P(x) = 2x ^ 3 + 9x ^ 2 - 11x - 30
=) P(- 5) = 2 * (- 5) ^ 3 + 9 * (- 5) ^ 2 - 11(- 5) / 30
=) P(- 5) = 2(- 125) + 9 * 25 + 55 - 30
=) P(- 5) = - 250 + 225 + 25
=) P(- 5) = - 250 + 250
=) P(- 5) = 0
Hence,
x = - 5
