Final answer:
Factoring polynomials in Algebra 2 involves finding two binomials that multiply to give the original equation. A quadratic equation of the form ax^2 + bx + c = 0 can be factored by finding two numbers that multiply to give c and add up to b.
Step-by-step explanation:
A quadratic function is a second-order polynomial. Quadratic equations are of the form ax^2 + bx + c = 0.
Factoring a quadratic equation involves finding two binomials that, when multiplied, result in the original equation.
or example, let's consider the quadratic equation x^2 - 5x + 6 = 0. To factorize, we will look for two numbers that multiply to give 6 and add up to -5.
In this case, the factors are -2 and -3, giving us (x - 2)(x - 3) = 0.
Therefore, the solutions to this equation are x = 2 and x = 3.