2.3 The Remainder Theorem

Step 1

Let $p(x) = x^4 + x^3 - 2x^2 + x + 1$ .

Step 2

The divisor is $x - 1$ . By Remainder Theorem, the remainder is $p(1)$ .

Step 3

Substitute $x = 1$ : $p(1) = (1)^4 + (1)^3 - 2(1)^2 + 1 + 1$ .

Step 4

$p(1) = 1 + 1 - 2 + 1 + 1 = 2$ .

Final Answer

Remainder is 2.

Operation

Polynomial: ax^3 + bx^2 + cx + d

a (x^3 coeff)

b (x^2 coeff)

c (x coeff)

d (constant)

x value

y value

z value

Select an operation and enter values.