##### Asked by: Dorcas Toenies

asked in category: General Last Updated: 4th May, 2020# How do you solve quadratic equations with polynomials?

**Factoring**

- Move all non-zero terms to the left side of the
**equation**, effectively setting the**polynomial**equal to 0. - Factor the
**quadratic**completely. - Set each factor equal to 0 and
**solve**the smaller**equations**. - Plug each answer into the original
**equation**to ensure that it makes the**equation**true.

Keeping this in view, what is the formula for quadratic polynomial?

For a **quadratic equation** ax^{2}+bx+c = 0, the sum of its roots = –b/a and the product of its roots = c/a. A **quadratic equation** may be expressed as a product of two binomials. Here, a and b are called the roots of the given **quadratic equation**.

Furthermore, what is polynomial formula? **Polynomial Equations**. A **polynomial equation** is an **equation** that has multiple terms made up of numbers and variables. **Polynomials** can have different exponents. For example, if the highest exponent is 3, then the **equation** has three roots. The roots of the **polynomial equation** are the values of x where y = 0.

Also question is, what are the 4 ways to solve a quadratic equation?

The four methods of solving a quadratic equation are **factoring**, using the square roots, completing the square and the **quadratic formula**.

What makes a polynomial quadratic?

In algebra, a **quadratic** function, a **quadratic polynomial**, a **polynomial** of degree 2, or simply a **quadratic**, is a **polynomial** function with one or more variables in which the highest-degree term is of the second degree.