# How do you divide polynomials by polynomials?

Table of Contents

## How do you divide polynomials by polynomials?

Dividing Polynomials Using Long Division

- Divide the first term of the dividend (4×2) by the first term of the divisor (x), and put that as the first term in the quotient (4x).
- Multiply the divisor by that answer, place the product (4×2 – 12x) below the dividend.
- Subtract to create a new polynomial (7x – 21).

### How do you find the remainder when dividing polynomials?

Important Notes

- 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)
- The remainder theorem formula is: p(x) = (x-c)·q(x) + r(x).
- The basic formula to check the division is: Dividend = (Divisor × Quotient) + Remainder.

#### How do you find the value of A and B in a polynomial?

So, put the zeroes of the polynomial in the given polynomial and form two-equation from it and solve two equations in two variable methods to find the value of a and b. Now substitute the value of a in any one of the equations and calculate the value of b. Thus the values of a and b are \[{\text{(2,12)}}\].

**What is the value for K?**

The Coulomb constant, the electric force constant, or the electrostatic constant (denoted ke, k or K) is a proportionality constant in electrostatics equations….Coulomb constant.

Value of k | Units |
---|---|

8.9875517923(14)×109 | N·m2/C2 |

14.3996 | eV·Å·e−2 |

10−7 | (N·s2/C2)c2 |

**What does K mean in a polynomial function?**

Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x+2x-5 is a polynomial. Introduction to polynomials.

## Is a polynomial divided by a polynomial always a polynomial?

No. Polynomials are very similar to integers. The sum of two integers is always an integer, the sum of two polynomials is always a polynomial. The difference of two integers is always an integer, the difference of two polynomials is always a polynomial.

### What is the remainder when 26 is divided by 6?

2

What is the remainder when 26 is divided by 6? The remainder is 2.

#### What is Ax B polynomial?

Any linear polynomial is of the form ax+b. If the value of a becomes zero, then it no longer remains a linear polynomial. In that case, the polynomial becomes 0x+b = b.