Question

9. Using Remainder theorem, show that 3x3 + 11x2 + x - 15 is a multiple of x – 1.​

Answer 1

Answer:

Step-by-step explanation:

remainder theorem states that if f(x) is divided by (x - a), remainder is f(a)

when 3x^3 +11x^2 + x - 15 is divided by x - 1, remainder = f(1) = 0

factor theorem states that when (x - a) is a factor of f(x) if f(a) = 0

therefore, x-1 is a factor of 3x^3 +11x^2 + x - 15

----> 3x^3 +11x^2 + x - 15 is a multiple of x - 1