Question

Find the quotient and the remainder: f(x) = 3x2 − 5x − 7 is divided by g(x) = (x + 3)

Answer 1

Answer:

The Reminder = 35

Step-by-step explanation:

According to the reminder theorem when a polynomial is f(x) is divided by

(x - a) the the reminder becomes f(a)

Here $f(x) = 3x^2 - 5x - 7$ & $(x - a) = (x + 3)$

Therefore a = -3 and the reminder will be f(-3)

$f(-3) = 3(-3)^2 - 5(-3) - 7 = 27 + 15 - 7 = 35$

Therefore the reminder = 35