Question

if y+2m is a factor of y5-4m2y3+2y+2m+3 then value of m is​

Answer 1

Step-by-step explanation:

y + 2 = 0

y = -2

y^5 -4m2y^3 +2y +2m +3

(-2)^5 -4m2(-2)^3 +2(-2) +2m +3

-32 -4m -16 -4 +2m +3

-49 -2m = 0

-2m = 49

m = 49/-2

m = 24.5

Answer 2

The value of m=$\frac{3}{2}$

Step-by-step explanation:

Let polynomial

p(y)=$y^5-4m^2y^3+2y+2m+3$

y+2m is factor of given polynomial

Then, y+2m=0

y=-2m

Substitute y=-2m in the polynomial and satisfied the polynomial because y+2m is factor of given polynomial

$(-2m)^5-4m^2(-2m)^3+2(-2m)+2m+3=0$

$-32m^5+32m^5-4m+2m+3=0$

$-2m+3=0$

$2m=3$

$m=\frac{3}{2}$

Hence, the value of m=$\frac{3}{2}$

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