Question

find the value of m for which y-1 is a factor of 2y3+9y2 +y + m​

Answer 1

Answer:

m = - 12

Step-by-step explanation:

If (y - 1) a factor of f(x) = 2y³ + 9y² + y + m , then

f(1) = 2(1)³ +9(1)² + 1 + m = 0

12 + m = 0 ⇒ m = - 12

2y³ + 9y² + y - 12 = (x - 1)(2x + 3)(x + 4)