Question

question 25 of 25
what is the remainder when 3 is synthetically divided into the polynomial
-2x² + 7x - 9?

a. -4
b. 2
c. 0
d. -6

Explanation:

Step1: List coefficients and root

Coefficients: $-2, 7, -9$; Root: $3$

Step2: Set up synthetic division

3 | -2   7   -9
     |     -6    3
     -------------
       -2   1   -6

Step3: Identify remainder

Last value is remainder: $-6$

Answer:

D. -6