Question

Find the value of m and n so that x – 1 and x + 2 both are factors of x^3 + (3m + 1) x^2 + nx − 18

Answer 1

P(x) = x³ + 10 x² + m x + n

x+2 is a factor:  P(-2) = 0 
=>  -8 + 40 - 2 m + n = 0
       =>  2m - n = 32  --(1)
x - 1 is a factor:  P(1) = 0 =>    1 + 10 + m + n = 0
    = >     m + n = - 11  ---(2)

add the two:        3m = 21  =>  m = 7
 n = -11 - 7 =  -18

Answer 2

Answer:

I amnoob?M-2 Xb+7

Step-by-step explanation:

x-2m+1

answer - m