To find the remainder when the polynomial x³ + 3x² + 3x + 1 is divided by x + 1, we can use the Remainder Theorem. The Remainder Theorem states that the remainder of a polynomial f(x) divided by (x - a) is equal to f(a).

Here, our divisor is x + 1, which can be rewritten as x - (-1). So, a = -1.

We substitute -1 into the polynomial:

(-1)³ + 3(-1)² + 3(-1) + 1 = -1 + 3 - 3 + 1 = 0

So, the remainder when the polynomial x³ + 3x² + 3x + 1 is divided by x + 1 is 0.

Question

To find the remainder when the polynomial x³ + 3x² + 3x + 1 is divided by x + 1, we can use the Remainder Theorem. The Remainder Theorem states that the remainder of a polynomial f(x) divided by (x - a) is equal to f(a).

Here, our divisor is x + 1, which can be rewritten as x - (-1). So, a = -1.

We substitute -1 into the polynomial:

(-1)³ + 3(-1)² + 3(-1) + 1 = -1 + 3 - 3 + 1 = 0

So, the remainder when the polynomial x³ + 3x² + 3x + 1 is divided by x + 1 is 0.

Knowee AI · Accepted Answer

To find the remainder when the polynomial x³ + 3x² + 3x + 1 is divided by x + 1, we can use the Remainder Theorem. The Remainder Theorem states that the remainder of a polynomial f(x) divided by (x - a) is equal to f(a).

Here, our divisor is x + 1, which can be rewritten as x - (-1). So, a = -1.

We substitute -1 into the polynomial:

(-1)³ + 3(-1)² + 3(-1) + 1 = -1 + 3 - 3 + 1 = 0

So, the remainder when the polynomial x³ + 3x² + 3x + 1 is divided by x + 1 is 0.

When the polynomial x3 + 3x2 + 3x + 1 is divided by x + 1, the remainder is :-

Question

Solution

Similar Questions

Upgrade your grade with Knowee