Table of Contents

- 1 When the polynomial in P x is divided by X a the remainder equals P A?
- 2 When a polynomial P x is divided by a linear polynomial then the remainder is?
- 3 When a polynomial denoted by P x is divided by X − a then the remainder is?
- 4 When a polynomial is divided by another polynomial The result is called?
- 5 How do you find the root and factor of a polynomial?
- 6 How to use the polynomial division Calculator in Excel?

## When the polynomial in P x is divided by X a the remainder equals P A?

When a polynomial P(x) is divided by x – a, the remainder is equal to P(a). Factor Theorem. If P(x) is a polynomial and P(a) = 0, then x – a is a factor of P(x). In other words, if the remainder when P(x) is divided by x – a is 0, then x – a is a factor of P(x).

## When a polynomial P x is divided by a linear polynomial then the remainder is?

ACCORDING TO THE REMAINDER THEOREM, IF ANY POLYNOMIAL p(x) IS DIVIDED A LINEAR DIVISOR (x-a), THEN THE REMAINDER WOULD BE p(a).

**How will you find the remainder when a polynomial in x is divided by a binomial of the form X and R?**

The remainder theorem simply states that if a polynomial f(x) is divided by a linear expression x-r, the value of f(r) is equal to the remainder.

### When a polynomial denoted by P x is divided by X − a then the remainder is?

Answer: If a polynomial p(x) is divided by x-a, then it’s remainder is p(a).

### When a polynomial is divided by another polynomial The result is called?

quotient: The number resulting from the division of one number or expression by another. dividend: A number or expression that is to be divided by another.

**What is the remainder when the polynomial is divided by (x+2)(x-1)?**

When the same polynomial is divided by (x-1), the remainder is 2, how do you determine the remainder when the polynomial is divided by (x+2) (x-1)? Note that (x + 2)(x −1) = x2 +x −2 is quadratic, so if we divide another polynomial by it then the remainder will be 0, a non-zero constant or a linear polynomial.

## How do you find the root and factor of a polynomial?

The polynomial is degree 3, and could be difficult to solve. So let us plot it first: The curve crosses the x-axis at three points, and one of them might be at 2. We can check easily: Yes! f (2)=0, so we have found a root and a factor.

## How to use the polynomial division Calculator in Excel?

Step 1: Enter the expression you want to divide into the editor. The polynomial division calculator allows you to take a simple or complex expression and find the quotient and remainder instantly. Step 2: Click the blue arrow to submit and see the result!

**How do you find the remainder after dividing by X-C?**

So to find the remainder after dividing by x-c we don’t need to do any division: Just calculate f (c). Let us see that in practice: We don’t need to divide by (x−3) just calculate f (3): And that is the remainder we got from our calculations above.