Find the remainder when f(x) is divided by (x - k).

f(x) = 8x4 + 7x3 + 5x2 - 5x + 35; k = 4

the remainder is equal to

Step-by-step explanation:

we know that

The remainder theorem, states that if f(x) is a polynomial in x then the remainder on dividing f(x) by  (x − k) is equal to f(k)

In this problem we have

the value of k is equal to

Find f(k)

therefore

the remainder is equal to

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2