factored form
The factored form [factored form|factored form] represents a polynomial expressed as a product of its factors.
Definition
The factored form factored form represents a polynomial expressed as a product of its factors. It is written by grouping terms and factoring out common elements.
Causes
factored form The factored form of a polynomial with horizontal intercepts at x = x 1 , x 2 , … , x n can be determined by the behavior of the graph at each intercept, with powers p i assigned to each factor (x − x i ) and a stretch factor a calculated using a known function value.
Effects
factored form The factored form of a polynomial with horizontal intercepts at x = x1, x2, ..., xn can be expressed as f(x) = a(x−x1)^p1(x−x2)^p2⋯(x−xn)^pn. The exponents p1, p2, ..., pn are determined by the graph's behavior at each intercept, while the stretch factor a is determined by a known function value. Factored form simplifies identifying LCDs for rational expressions by keeping denominators in factored format.