Question

Hi
I will mark as brain list
Please tell me answer of this question with Step-by-step explanation ​

Answer 1

Answer:

Value of m = 1

Step-by-step explanation:

Given Problem:

For which the value of m, x+3 is the factor of the polynomial x³-2mx+21?

Solution:

To Find:

The Value of m

--------------------------------

⇒x + 3 is a factor

⇒So, x = -3

⇒f (-3) = 0

⇒f (x) = x³-2mx+21

⇒ f (-3) = (-3)³ - 2m(-3) + 21

⇒ f (-3) = -27 + 6m + 21

⇒f (-3) = 6m - 6

⇒6 m - 6 = 0

⇒ m = 1

Hence,For value of m= 1, x+3 is the factor of the polynomial x³-2mx+21

I Hope My Answer Helps You dear Student!

Keep SmilinG!

Answer 2

Answer:

Hii

m = 1

Step-by-step explanation:

If x+3 is a factor of polynomial them

if we put x= -3 then the value of this polynomial is 0

x³- 2mx + 21

f(x) = 0 if x = -3

x³ -2mx+21 = 0 if x = -3

(-3)³ - 2 ×m×(-3) +21 =0

-27 +6m + 21 =0

6m= 6

m = 6/6

m = 1

Hope it will satisfy u and helpful for u

Thanks