Question

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

Answer 1

$\textbf{\underline{\underline{According\:to\:the\:Question}}}$

x + 3 is a factor of x³- 2mx + 21

x + 3 = 0

x = -3

f(-3) = 0

f(x) = x³ - 2mx + 21

$\Large{\boxed{\sf\:{Substitute\;the\;value}}}$

f(-3) = (-3)³ - 2m(-3) + 21

f(-3) = -27 + 6m + 21

f(-3) = 6m - 6

6m - 6 = 0

6m = 6

$\tt{\rightarrow m=\dfrac{6}{6}}$

m = 1

★If the value of m is 1 then, x+3 is the factor of the polynomial x³-2mx + 21

$\Large{\boxed{\sf\:{Additional\; Information}}}$

★Zero of polynomial is refers to a particular value x where the the polynomial value becomes zero.

→For an Example :-

p(x) = x + 4

★Now here if we substitute x = -4 then the value of polynomial becomes zero.

→Here zero of polynomial is -4

Answer 2

Answer:

Step-by-step explanation: