Question

What is the remainder when x^6-4x^4+4x^2-10 is divided by (x+3)

Answer 1

Answer:

  431

Step-by-step explanation:

When polynomial f(x) is divided by x-a, the remainder is f(a). Here, "a" is -3. We can compute f(-3) as ...

  f(x) = ((x^2 -4)x^2 +4)x^2 -10 . . . . Horner form simplifies evaluation

  f(-3) = ((9 -4)9 +4)9 -10 = 431

The remainder of the division is 431.