Sometimes the coefficient of x in quadratic equations may not be 1 but the expression can be simplified by finding common factors. X - 4 = 0 ⇒ x = 4 If the Coefficient of x 2 Is Greater Than 1 X 2 – 6 x + 8 = 0 Factorize the left hand side of the equation Step 2: Find the factors whose sum is – 6: We need to get the negative factors of 8 to get a negative sum. Get the values of x for the equation: x 2 – 6 x + 8 = 0 X 2 – 5 x – 6 = 0 Factorize the left hand side of the equationĮxample 4:* (b is negative and c is positive)* Step 2: Find the factors whose sum is –5: Get the values of x for the equation: x 2 – 5 x – 6 X 2 + 4 x – 5 = 0 Factorize the left hand side of the equation Get the values of x for the equation: x 2 + 4 x – 5 = 0 X 2 + 7 x + 10 = 0 Factorize the left side of the quadratic equationĮxample 2: (b is positive and c is negative) Step 4: Going back to the original quadratic equation Step 3: Write out the factors and check using the distributive property. Solve the quadratic equation: x 2 + 7 x + 10 = 0 To factorize quadratic equations of the form: x 2 + bx + c, you will need to find two numbers whose product is c and whose sum is b. In other cases, you will have to try out different possibilities to get the right factors for quadratic equations. For example: Square of Sum, Square of Difference and Difference of Two Squares. We try to find common factors, and then look for patterns that will help you to factorize the quadratic equation. When factoring Quadratic Equations, of the form:Īx 2* + bx + c* = 0 where *a*, *b* and *c* are numbers and *a* ≠ 0.
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