Showing in Quadratic Equations
Quadratic EquationsA quadratic function, is a polynomial function of the form `f(x) = ax^2 + bx + c, x!= 0.` Therefore, if your function has an `"x^2"` term, then it is a quadratic function.
MathFollow the steps 1)-4) 1) First expand out the bracketed term: `x-1 -(x-1)^2 = x- 1 - (x-1)(x-1) ` `= x - 1 - (x^2 - x - x + 1)` `= x - 1 - (x^2 - 2x + 1)` 2) Now gather terms: `x - 1 - (x-1)^2 =...
MathThere are several methods and variations of these basic methods for factoring quadratics. If we start from a product of the form `(x+a)(x+b)` and expand it, we get `(x+a)(x+b)=x^2+(a+b)x+ab.`...