Question

for what values of M the polynomial x cube - 2mx square + 16 is divisible by (X + 2) ?

Answer 1

hey the answer is ....

Answer 2

✪ Answer : 1

✪ Step-by-step explanation :

p(x) = x³ - 2mx² + 16

Where divisor is ( x + 2 ) and we get remainder i.e., final value of p(x) as 0.

So value of x here is - 2

p(-2) = -2³ - 2m(-2)² + 16

0 = - 8 - 8m + 16

0 = - 8 + 16 - 8m

0 = + 8 - 8m

+ 8m = + 8

m = 8/8

⇒m = 1

Final value of m is 1.