Question

Find the value of 'a' if (x + 1) is a factor of polynomial ax³ - 9x² + x + 6a. ​

Answer 1

Answer:

a = 2

Step-by-step explanation:

$(x + 1) = x = -1\\\\ax^{3} - 9x^{2} + x + 6a = 0\\\\a(-1)^{3} - 9(-1)^{2} + (-1) + 6a = 0\\\\-a -9 -1 +6a = 0\\\\-10 +5a = 0\\\\5a = 10\\\\a = \frac{10}{5} \\\\a = 2$