Question

step 3
use synthetic division again to divide the second known zero (the conjugate) into the quotient from the last step. use the first three
dividend. (notice that after dividing just one complex zero, some coefficients of the resulting quotient were complex.)
step 4
the first degree quotient is the third linear factor which will yield the third zero of the polynomial function. what is the linear factor?
the factor is (x + _______ ).
the zero of this factor is x = _______ .
submit skip (you cannot come back)
resources
read it

Explanation:

Step1: Identify final quotient

From Step 3, the final quotient after synthetic division is the first-degree polynomial $1x + 1$, which can be written as $x + 1$.

Step2: Find the zero

Set the linear factor equal to zero and solve for $x$:
$x + 1 = 0$
$x = -1$

Answer:

The factor is $(x + \boldsymbol{1})$.
The zero of this factor is $x = \boldsymbol{-1}$