Question

According to the synthetic division below, which of the following statements are true

Answer 1

Answer:

B and D

Step-by-step explanation:

The polynomial x² + 6x - 8 ( from values in first row )

is being evaluated at x = - 5 thus the factor is (x + 5)

If (x + 5) is a factor the remainder = 0

Hence (x + 5) is not a factor since remainder = 12 ≠ 0

When the polynomial is evaluated at x = 5  it's value is 12

The remainder theorem states that f(h) = remainder, hence

f(- 5) = 12 ← remainder