Question

if 2x³+mx²+nx-14 is exactly divisible by x²+x-2, then the value of m and n are respectively.​

Answer 1

Answer:

1. n = 9 , m = 3 .

Step-by-step explanation:

• x ^2 + x -2 = x + 2 , x-1
• x +2 =0 , x -1 =0
• x = -2 , x = 1
• With -2 will be 4 m -2n =30 .
• With 1 will be 2m + n = 12
• Adding both will be 6m - n = 54 .
• Equating both will be 2 n - 18 = 9
• 4 m + 6 {9} -30 =0
• 4m +54 -30 m = 3 .
• Took a long time .