Question 2
Not yet
answered
Marked out of
1.00
P Flag question
Determine the value of $k$ so that $x+2$ is a factor of $x^{3}+10 x^{2}+23 x+k ?$
Select one:
a. $k=14$
b. $k=-14$
c. $k=1$
d. $k=-1$

Answer

Expert–verified

Hide Steps

Answer

$\boxed{k = 94}$

Steps

Step 1 ：Use the factor theorem, which states that if $(x - c)$ is a factor of a polynomial, then the polynomial evaluated at $x = c$ will be equal to 0. In this case, we have $x + 2$ as a factor, so we can set $x = -2$ and evaluate the polynomial.

Step 2 ：$x = -2$

Step 3 ：$k + x^3 + 10x^2 + 23x = k - 8 - 40 - 46 = k - 94$

Step 4 ：Since $x + 2$ is a factor, the polynomial evaluated at $x = -2$ must be equal to 0. So, $k - 94 = 0$

Step 5 ：Solve for k: $k = 94$

Step 6 ：$\boxed{k = 94}$

Question 2Not yetansweredMarked out of1.00P Flag questionDetermine the value of $k$ so that $x+2$ is a factor of $x^{3}+10 x^{2}+23 x+k ?$Select one:a. $k=14$b. $k=-14$c. $k=1$d. $k=-1$

Answer

Popular Problems

Question 2
Not yet
answered
Marked out of
1.00
P Flag question
Determine the value of $k$ so that $x+2$ is a factor of $x^{3}+10 x^{2}+23 x+k ?$
Select one:
a. $k=14$
b. $k=-14$
c. $k=1$
d. $k=-1$