Question

Cristoble used synthetic division to divide the polynomial f(x) by x + 3, as shown on the table. What is the value of f(−3) ? −3 2 33 36 A synthetic division setup with respective columns containing the following numbers column 1 containing -3 as the divisor, column 2 containing 2, blank and 2, column 3 containing negative 5, negative 6, negative 11, and column 4 containing 3, 33, 36.There is a line above the numbers 2, negative 11 and 36.

Answer 1

36

Explanation:

this i believe is the settup u were describing

Answer 2

Remainder is 36.

Explanation:

We are given that f(x) is divided by x+3 using synthetic division, and we are given with table attached in the image.

In synthetic division, first row represents the coefficients of dividend. From the given table, dividend is f(x)=
`2x^(2)-5x+3` and since f(x) is divided by x+3, divisor is -3.

First two numbers of last row represents coefficients of quotient and last most number of third row is remainder.

And we can write f(x) as (x+3)(2x-11)+36.

Hence remainder is 36 , when f(x) is divided by x+3.