Practice Quadratic Equation Questions - Free PDF

## Quadratic Equation Tricks and Short Tricks PDF For Bank Exams

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## How To Factor A Quadratic Equation

In this Quadratic Equation Tricks and Short Tricks for Bank Exams article, we have given a clear explanation of how to factor a quadratic equation. To know how to factor a quadratic equation you have to be familiar with the quadratic equation sgn tricks and quadratic equation short tricks for bank exams. Here you will get to know how to factor a quadratic equation by using quadratic equation sign tricks and quadratic equation short tricks for bank exams.

To Factor A Quadratic Equation we can use the different methods. They are:

• Splitting the middle term
• Using formula
• Using algebraic identities

### How to Factor a Quadratic Equation by Splitting the Middle term

Here you will learn how to factor a quadratic equation by splitting the middle term by using the quadratic equation sign tricks and quadratic equation tricks for bank exams.

Step 1: Consider the quadratic equation ax2 + bx + c = 0

Step 2: Now, find two numbers such that their product is equal to ac and the sum equals b.

(number 1)(number 2) = ac

(number 1) + (number 2) = b

Step 3: Now, split the middle term using these two numbers,

ax2 + (number 1)x + (number 2)x + c = 0

Step 4: Take the common factors out and simplify.

### How to Factor a Quadratic Equation Using Formula

By exploiting this quadratic equation tricks article, you will be familiar with how to factor a quadratic equation by using these quadratic equation sign tricks and quadratic equation tricks for bank exams. This method is almost similar to the method of splitting the middle term.

Step 1: Consider the quadratic equation ax2 + bx + c = 0

Step 2: Now, find two numbers such that their product is equal to ac and the sum equals b.

(number 1)(number 2) = ac

(number 1) + (number 2) = b

Step 3: Substitute these two numbers in the formula given below:

(1/a) [ax + (number 1)] [ax + (number 2)] = 0

Step 4: Finally simplify the above equation.

We have provided how to factor a quadratic equation using the quadratic formula in this quadratic equation tricks for bank exams post. You have to utilize the quadratic equation tricks pdf which also has the important quadratic equation tricks and short tricks and how to factor a quadratic equation. Here you will build some ideas about how to factor a quadratic equation using the quadratic formula.

Suppose p and q are the factors of a quadratic equation in x, then (x – p) and (x – q) will be the factors of it. Keeping this in mind, we can factorize the quadratic equation using the quadratic formula. Using the quadratic formula, we can get the roots of a quadratic equation, and using these roots we can write the factors.

Quadratic formula to get the roots of a quadratic equation ax2 + bx + c = 0 is given by:

x = [-b ± √(b2 – 4ac)]/ 2a

Substituting the values of a, b, and c and simplifying the expression, we get the values of roots.

### How to Factor a Quadratic Equations using Algebraic Identities

You will come to know how to factor a quadratic equation by using the algebraic identities by making use of these quadratic equation sign tricks and short tricks. Download the quadratic equation tricks pdf for your future reference.

Two algebraic identities can be applied to factor the given quadratic equation. This method can be applied only when the LHS of the given quadratic equation is in the form a2 + 2ab + b2 or a2 – 2ab + b2.

We know that:

• a2 + 2ab + b2 = (a + b)2 = (a + b)(a + b)
• a2 – 2ab + b2 = (a – b)2 = (a – b)(a – b)
• a2 – b2 = (a + b)(a – b)

## Quadratic Equation Tricks and Short Tricks For Bank Exams

The most important quadratic equation short tricks for bank exams are available here. As a result, some quadratic equation tricks for bank exams and short tricks are essential to know how to factor a quadratic equation. In bank exams, we are required to factor a quadratic equation within an allotted time with accuracy. So by exploiting these quadratic equation tricks for bank exams, you will be proficient with how to factor a quadratic equation and you can solve the questions easily within a time with quadratic equation sign tricks. Here you can learn the important quadratic equation tricks and quadratic equation short tricks for bank exams and start preparing for future exams by utilizing this quadratic equation tricks pdf.

ax2 + bx + c = 0

• You can use this quadratic equation sign tricks which is enclosed in this quadratic equation tricks for bank exams post. Most questions from this topic are asked in the form of inequalities like,

A) If x >= y, i.e. x is greater than or equal to y

B) If x > y, i.e. x is greater than y

C) If x <= y, i.e. x is less than or equal to y

D) If x < y, i.e. x less than y

E) If x = y, or no relation can be established between x and y

• In the first step, the candidates need to arrange all the values on one side leave the other side empty, and then write 0. By this, they will be able to create an equation and solve it accordingly. For example, if it is given 3y2-8Y-4=3y+y2, then factor the equation as 2y2-11y-4=0 accordingly and then separate the factor set by 0. If you are familiar with the quadratic equation sign tricks then it will be simple.
• In the second step, the candidates need to use the formula that is −b±b2−4ac√2ab and then put the value accordingly in the equation to solve the questions asked.
• The candidates should use a stopwatch while practicing the quadratic equation questions as it will help them in enhancing their time management skills.
• The applicants are advised to practice daily at least 20 different types of quadratic equations to clear their basic concepts and also it will help in improving their speed and accuracy.
• The candidates must learn all the necessary quadratic equation tricks which are added in these quadratic equation tricks and short tricks for bank exams to solve the quadratic equation as it will save their time in the actual examinations.

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## Quadratic Equation Tricks and Short Tricks For Bank Exams FAQs

Q. What is the basic form of a quadratic equation?

A. Basically a quadratic equation looks like

ax2 + bx + c = 0

Q. What is the formula that is used to find the quadratic equation?

A. The candidates need to use the formula that is −b±b2−4ac√2ab and then put the value accordingly in the equation to solve the questions asked.

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