. Use the remainder theorem to determine the remainder if (x3 + 2x² + 3x + 7) is divided by (x - 1).
Answer (1)
Answer:f(1) = 13Step-by-step explanation:Here's how to use the Remainder Theorem to solve this problem: Remainder Theorem: The Remainder Theorem states that when a polynomial, f(x), is divided by (x - a), the remainder is equal to f(a). Applying the Theorem: 1. Identify 'a': In our problem, we're dividing by (x - 1), so a = 1.2. Evaluate f(a): Our polynomial is f(x) = x³ + 2x² + 3x + 7. Let's find f(1): f(1) = (1)³ + 2(1)² + 3(1) + 7f(1) = 1 + 2 + 3 + 7f(1) = 13 Therefore, according to the Remainder Theorem, the remainder when (x³ + 2x² + 3x + 7) is divided by (x - 1) is 13.
