What is the remainder when a polynomial P x is divided by x 1?

3
When a polynomial p(x) is divided by x-1, the remainder is 3.

When the polynomial P x is divided by x 2 then the remainder is?

4
If a polynomial p(x) is divided by x−2, the quotient is 2x and remainder is 4.

What is the remainder P x x² 1 divided by x 1?

So the remainder is 2.

Do we get 1 as the remainder on dividing X by 2 statement?

If positive integer x is divided by 2, the remainder is 1.

How do you find the remainder of a polynomial?

Important Notes

1. When a polynomial a(x) is divided by a linear polynomial b(x) whose zero is x = k, the remainder is given by r = a(k)
2. The remainder theorem formula is: p(x) = (x-c)·q(x) + r(x).
3. The basic formula to check the division is: Dividend = (Divisor × Quotient) + Remainder.

What is the remainder when P x is divided by X − 3?

5
When a polynomial p(x) is divided by x−1, the remainder is 3. When p(x) is divided by x−3, the remainder is 5.

When the polynomial in P x is divided by x A?

remainder theorem
The remainder theorem states that if a polynomial p(x) is divided by (x−a), then the remainder is a constant given by p(a).

When given a polynomial is divided by x2 2 then quotient?

on dividing the polynomial by x²-2 the quotients is found as 2x²+5x-2 and the remainder as -x+14.

When P x )= x 3 2x 1 is divided by x 2 The remainder is?

13 is the remainder.

What is the remainder in polynomial long division?

After dividing we were left with “2”, this is the “remainder”. The remainder is what is left over after dividing.

How to find the remainder of a polynomial without division?

If p (x) is divided by the linear polynomial x – a, then the remainder is p (a). This is the remainder theorem. It helps us to find the remainder without actual division. Let’s take a look at the application of the remainder theorem with the help of an example.

What is the remainder when p(x) is divided by (X-2)(X-3)?

When p (x) is divided by x-2,it leaves a remainder 1 and when it is divided by x-3 it leaves a remainder 3. Find the remainder when p (x) is divided by (x-2) (x-3). (With Steps). The remainder of division by a degree polynomial will be a degree 1 polynomial, that is, something in the form ax + b.

What is remainder theorem in math?

Remainder Theorem is used that when a polynomial f (x) is divided by a linear factor in the form of x-a. Go through the following steps and use them while solving the remainder of a polynomial expression in fraction of seconds.

When p(x) is divided by (x + 2)?

When p (x) is divided by (x + 2), then by remainder theorem, the required remainder will be p (–2). Example 4: Determine the remainder when the polynomial p (x) = x 4 – 3x 2 + 2x + 1 is divided by x – 1. Solution: By remainder theorem, the required remainder is equal to p (1).