Quadratic Function Online Tutoring - Maths Tutors

Quadratic Function Online Tutoring - Maths Tutors Quadratic function is a function which contains a quadratic equations. Quadratic means square. The function which has the highest degree for the variable as two is called a quadratic function. So the degree of the polynomial for a quadratic function is always 2. The general form of a quadratic function is written as ax2 + b x + c. Here x is the unknown variable and a. b. c are the constants. Example 1: The function f(x) = x2 + 6 x + 9. Solve for x if f(x) = 0? Solution: Given here is the quadratic function f(x) = 0 This gives x2 + 6 x + 9 = 0. The equation can be written as x2 + 3 x +3 x + 9 = 0 Now factoring the common terms gives x (x + 3) + 3 (x + 3) = 0. Hence (x + 3) (x + 3) = 0 Therefore, x = 3 is the solution for the function. Example 2: The function f(x) = x2 + 7 x + 12. Solve for x if f(x) = 0? Solution: Given here is the quadratic function f(x) = 0 This gives x2 + 7 x + 12 = 0. The equation can be written as x2 + 4 x +3 x + 12 = 0 Now factoring the common terms gives x (x + 4) + 3 (x + 4) = 0. Hence (x + 3) (x + 4) = 0 Therefore, x = -3, -4 is the solution for the function.