Table of Contents

## How do you do factored form?

When the given equation can be expressed in the form a2 – b2, it can be factored as (a+b)(a−b) ( a + b ) ( a − b ) . Example: Consider y2−100 y 2 − 100 . Each of the terms here can be expressed in the form of square. Here the factors are (y+10 ) and (y−10) .

### What is factored form formula?

The equation y = ax2 + bx + c is in factored form when it is written as. y = a(x – r. 1. )(x – r.

**What does factored form tell you?**

The factored form of the equation tells us the roots, i.e. the -intercepts, and . The key information in drawing a parabola is the vertex, which we can read off from the vertex form equation as the point . If , the parabola opens upwards.

**How do you find AOS in factored form?**

To find vertex in factored form, the easiest method is to find the axis of symmetry, and sub that in as x and solve for y . The axis of symmetry can be calculated given the formula: x=r+s2 . => r and s are the zeros. => x is the axis of symmetry AKA the x-component in the vertex.

## How do you solve a quadratic equation in factored form?

To solve an quadratic equation using factoring :

- 1 . Transform the equation using standard form in which one side is zero.
- 2 . Factor the non-zero side.
- 3 . Set each factor to zero (Remember: a product of factors is zero if and only if one or more of the factors is zero).
- 4 . Solve each resulting equation.

### How do you find the vertex from factored form?

**What does factored form tell you about the graph?**

**Why do we use factored form?**

Factoring helps create perfect squares when you are given equation in the form x2 = b, where ‘b’ is an integer. It also helps when finding formula for quadratic equations like (x-h)2 = 4p or (x+h)2=4p to solve problems in geometry and algebra.