solving quadratic equations by factoring worksheet

#Solving quadratic equations by factoring worksheet how to#

Solving quadratics by factoring is one of the famous methods used to solve quadratic equations.

Now, we will learn the methods of solving the quadratic equations in each of the above-mentioned methods. Thus, the roots of the equation are 0 and -11. Thus, the roots of the equation are 0 and 5. The process is explained with examples below. To solve this type of equation, we simply factor x out from the left side, set each of the factors to zero, and solve.

In a quadratic equation ax 2 + bx + c = 0, if the term with c is missing then the equation becomes ax 2 + bx = 0. (note that these are imaginary (or) complex numbers). Thus, the roots of the equation are 7i and -7i. Thus, the roots of the equation are 2 and -2. This can be solved by taking square root on both sides. In a quadratic equation ax 2 + bx + c = 0, if the term with b is missing then the equation becomes ax 2 + c = 0.

Solving quadratic equations by quadratic formulaĪpart from these methods, there are some other methods that are used only in specific cases (when the quadratic equation has missing terms) as explained below.

Solving quadratic equations by graphing.

Solving quadratic equations by completing the square.

Solving quadratic equations by factoring.

#Solving quadratic equations by factoring worksheet how to#

But how to find them if they are not given? There are different ways of solving quadratic equations. Thus, x = 1 and x = 2 are the roots of x 2 - 3x + 2 = 0. For example, one can easily see that x = 1 and x = 2 satisfy the quadratic equation x 2 - 3x + 2 = 0 (you can substitute each of the values in this equation and verify). Since the degree of the quadratic equation is 2, it can have a maximum of 2 roots. The value(s) that satisfy the quadratic equation is known as its roots (or) solutions (or) zeros. Solving quadratic equations means finding a value (or) values of variable which satisfy the equation. Solving Quadratic Equations by Quadratic Formula Solving Quadratic Equations by Completing Square

Let us learn all the methods in detail here along with a few solved examples. But the most popular method is solving quadratic equations by factoring. There are different methods used to solve quadratic equations. We know that any value(s) of x that satisfies the equation is known as a solution (or) root of the equation and the process of finding the values of x which satisfy the equation ax 2 + bx + c = 0 is known as solving quadratic equations. The standard form of a quadratic equation is given by the equation ax 2 + bx + c = 0, where a ≠ 0. It means the quadratic equation has a variable raised to 2 as the greatest power term. The word 'quadratic' is originated from the word 'quad' and its meaning is 'square'. Before going to learn about solving quadratic equations, let us recall a few facts about quadratic equations.