Table of Contents

## How do you find a remainder of a polynomial?

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 a and b of 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 a polynomial with no variable called?**

Such polynomials only have constant terms with no variable. 2, which we can also write as 2x 0, is an example of zero polynomial. A polynomial with 1 as the degree of the polynomial is termed a linear polynomial.

**How do you solve a polynomial equation?**

To solve a linear polynomial, set the equation to equal zero, then isolate and solve for the variable. A linear polynomial will have only one answer. If you need to solve a quadratic polynomial, write the equation in order of the highest degree to the lowest, then set the equation to equal zero. Rewrite the expression as a 4-term expression and

### What is the degree of a polynomial in one variable?

The highest power of the variable in a polynomial is called the degree of the polynomial. For example, in the following equation: x 2 + 2 x + 4, the degree of the polynomial is 2, i.e., the highest power of the variable in the polynomial. Based on the degree of a polynomial in one variable, it can be classified into 4 types:

### How to factor polynomials without all the steps?

Okay, this time we’ll just go through the process without all the explanations and steps. The first thing to do is get a zero on one side and factor the polynomial if possible. So, the polynomial will be zero at x = 2 x = 2 and x = 3 x = 3.