Question

Find f(3). In other words, use the remainder theorem to determine what the remainder would * 0 points

be when you
divide the following expression:
(n³ + 4n² −26n +21) ÷ (n − 3)
Your answer

Answer 1

To find f(3) using the Remainder Theorem, substitute n = 3 into the polynomial (n³ + 4n² −26n + 21), calculate the result, and you will get the remainder, which is 6.

Step-by-step explanation:

To find f(3), or the remainder when dividing (n³ + 4n² −26n + 21) by (n - 3), we can use the Remainder Theorem which states that the remainder of the division of a polynomial f(n) by a linear divisor (n - r) is equal to f(r). We need to evaluate the given polynomial at n = 3.

Substitute n = 3 into the polynomial:

1. 3³ + 4(3)² - 26(3) + 21
2. 27 + 4(9) - 78 + 21
3. 27 + 36 - 78 + 21
4. 63 - 78 + 21
5. -15 + 21
6. 6

So, f(3) = 6, which is the remainder when the polynomial is divided by (n - 3).