Answer:
Remainder is 36.
Step-by-step 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)=[tex]2x^{2}-5x+3[/tex] 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.
