Table of Contents

## What is the greatest common factor of 3x 12?

The common factors for 3,12 are −3,−1,1,3 – 3 , – 1 , 1 , 3 .

## What is the factored shape of 3x 24y?

The factored shape of 3x+24y 3 x + 24 y is 3(x+8y) 3 ( x + 8 y )

**What is factored shape example?**

A fully factored form way the given number or polynomial is expressed as a product of the simplest possible shape. For example, if we write 12y2−27=3(4y2−9) 12 y 2 − 27 = 3 ( Four y 2 − 9 ) , then it is no longer considered as absolutely factored shape as (4y2−9) ( 4 y 2 − 9 ) can be factored further.

### How do you change an equation to a quadratic equation?

Solving standard sort: ax2+bx+c=0 (1). The new way transforms this equation (1) to: x2+bx+a⋅c=0 (2). Solve the equation (2) like we did in CASE 1 to get the 2 real roots y1 and y2 . Next, divide y1 and y2 through the coefficient a to get the 2 real roots x1 and x2 of authentic equation (1)

### What is the difference between factored form and standard form of a quadratic?

In factored shape, the zeros are r and s. The vertex of the parabola is halfway between the two zeros. To to find the x coordinate of the vertex, upload the two zeros together and divide through two. In same old form, c is the y-intercept of the function.

**What are the 3 paperwork of quadratic equations?**

Here are the 3 forms a quadratic equation must be written in:

- 1) Standard form: y = ax2 + bx + c where the a,b, and c are simply numbers.
- 2) Factored form: y = (ax + c)(bx + d) once more the a,b,c, and d are just numbers.
- 3) Vertex shape: y = a(x + b)2 + c again the a, b, and c are simply numbers.

#### What is usual form and factored shape?

Standard shape is ax^2 + bx + c. Vertex form is a(x-h)^2 + k, which unearths the vertex and axis of symmetry. Factored shape is a(x-r)(x-s), which finds the roots.

#### What is standard form of a quadratic serve as?

The quadratic function f(x) = a(x – h)2 + ok, a no longer equivalent to zero, is stated to be in standard shape. If a is positive, the graph opens upward, and if a is adverse, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h,okay).

**How do you find the value of standard shape?**

To to find optimum price of an usual form equation you sub the axis of symmerty from the equation with x. Sub in the values into the x=-b/2a components. Find the x-value.

## What does B mean in a parabola?

As we can see from the graphs, changing b affects the location of the vertex with recognize to the y-axis. When b = 0, the vertex of the parabola lies on the y-axis. Changing b does not affect the shape of the parabola (as converting a did). Making b certain or detrimental simplest displays the parabola throughout the y-axis.

## What are ABC in quadratic components?

The Quadratic Formula makes use of the “a”, “b”, and “c” from “ax2 + bx + c”, where “a”, “b”, and “c” are just numbers; they are the “numerical coefficients” of the quadratic equation they’ve given you to resolve.

**What are the values of a B and C in the quadratic equation Zero 1 2x 2 3x 2?**

Answer: The cost of a is 1/2, b is -Three and c is -2

### Who is the father of quadratic equations?

al Khwarizmi’s