Question

If x = −4 is a zero of the polynomial function f(x) = 2x3 + 13x2 + 23x + 12, which of the following is another zero of f(x)?  x = 4, x = −1, x = 1, x = 12?

Answer 1

Answer:

x= -1 is the another zero of the given function.  

Step-by-step explanation:

We have been given a function:

$f(x)=2x^3+13x^2+23x+12$

The zero of the function is that point where the function vanishes or the value of the function becomes zero.

From the given four values we will put the values in the function and wherever we get zero is the zero of the function.

put x= -1 we get:

$f(-1)=2(-1)^3+13(-1)^2+23(-1)+12$

$f(-1)=-2+13-23+12=0$

Hence, x= -1 is the another zero of the given function.  

Answer 2

Hello,

$2x^3+13x^2+23x+12=0 \\ ==\textgreater\ 2x^2(x+4)+5x(x+4)+3(x+4)=0 \\ ==\textgreater \ (x+4)(2x^2+5x+3)=0\\ ==\textgreater \ (x+4)(2x^2+2x+3x+3)=0\\ ==\textgreater \ (x+4)(2x(x+1)+3(x+1))=0\\ ==\textgreater \ (x+4)(x+1)(2x+3)=0$

Answer B x=-1