.In the given polynomial , find the value of m . y^4 - m^2y^2+3y-m , if y + m is a factor of this polynomial .

Question

Facing many problems

Answer 1

polynomial factor theorem:

(y+m) is a factor of the polynomial f(y) iff:

 f(-m) = 0

 

plug in y = -m

 

(-m)⁴ - m²(-m)²+ 3m - m = 0

 

m⁴ - m⁴ + 3m - m = 0

 

2m = 0

 

m = 0