Consequently, (x + 4) and (x + 2) are the two factors. The numbers +4 and +2 have the properties necessary. We’re not big fans of you memorizing formulas, but this one is useful (and we think you should learn how to derive it as well as use it, but that’s for the second video). The standard form of a quadratic function equation is f ( x ) a x 2 + b x + c, where a, b, and c are constants with a 0. In factoring a basic quadratic equation such as x 2 + 6x + 8 = 0, you must find two numbers that add to b (i.e., +6 in this case) and multiply to c (+8 in this case). The quadratic formula helps you solve quadratic equations, and is probably one of the top five formulas in math. In this case, the equation x 2 - x - 2 = 0 can be broken apart into two factors such that when these two separate terms (i.e., factors) are multiplied together, the result is the original equation. Factorising quadratics In a quadratic expression, the highest power of (x) is (x2). Factoring - The process of breaking apart of an equation into factors (or separate terms) such that when the separate terms are multiplied together, they produce the original equation.įor example, x 2 - x - 2 = (x+1)(x-2).Quadratic Equation - An equation that can be written in the form ax 2 + bx + c = 0.įor example, 6x 2 + 2x + 1 = 0 is a quadratic equation while 6x + 2 is not a quadratic equation. A quadratic equation is a polynomial equation of degree two, which can be written in the form ax2 + bx + c 0, where x is a variable and a, b and c are.Step 2: Rewrite the middle with those numbers: Step 3: Factor. Translating Between Factored and Quadratic Form Step 1: Find two numbers that multiply to give ac (in other words a times c), and add to give b.
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