Question

When f(X) = X4 + X2 – 4X + 6 is divided by (X + 1), then the remainder is ___.

Answer 1

Answer:

Quotient = x^3-x^2+2x-6

Answer 2

Answer:

12 is your answer

Step-by-step explanation:

Given࿐

• f(x) = x^4 + x^2 – 4x + 6

First we find the value of x

→x +1 = 0

→ x= -1

Now substitute the value of x in f(x)

$\tt \implies \: f( - 1) = { - 1}^{4} + { - 1}^{2} - 4 \times ( - 1) + 6 \\ \tt \implies f( - 1) = 1 + 1 + 4 + 6 = 12$

So Remainder = 12