Question

When f(x) = ax³+6x²+4x+5 is divided by (x +3), the remainder is -7. Find the value of a​

Answer 1

Answer:

38 / 27

Step-by-step explanation:

First, find the value of x

x + 3 = 0

x = -3

Now solve the problem,

$ax^{3} + 6x^{2} + 4x + 5 = 0\\\\( a * ( - 3 )^3 ] + [ 6 * ( -3 )^2 ] + [ 4 * ( - 3 ) ]+ 5 = 0\\\\( a * - 27 ) + ( 6 * 9 ) - 12 + 5 = 0\\\\-27a + 45 - 7 = 0\\\\-27a = 7 - 45\\\\a = - 38 / - 27\\\\a = 38 / 27$