Factoring

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c, where a, b, and c are constants.

Two expressions are equivalent if they have the same value for all values of the variable(s) involved.

The factored form of a quadratic expression is expressed as (px + q)(rx + s), where p, q, r, and s are constants.

The expression factors to (3x - 4)(x + 3).

To factor, find two numbers that multiply to 8 and add to -6. The expression factors to (x - 2)(x - 4).

Find two numbers that multiply to 40 and add to -13. The expression factors to (x - 5)(x - 8).

The expression factors to (2x + 1)(x - 2).

The difference of squares is a special factoring case where a² - b² = (a - b)(a + b).

This expression is a difference of squares and factors to (5x - 9)(5x + 9).