Question

Standard to factored form calculator

a) (x - 4)(x + 2)
b) (x + 4)(x - 2)
c) (x - 4)(x - 2)
d) (x + 4)(x + 2)

Answer 1

The factored form of a quadratic function can be found by factorizing the quadratic expression into two binomial expressions. Among the given options, option c) (x - 4)(x - 2) is in factored form.

Step-by-step explanation:

To convert a quadratic function from standard form to factored form, we need to factorize the quadratic expression. The factored form of a quadratic function is written as a product of two binomial expressions. Using the given options:

1. (x - 4)(x + 2)
2. (x + 4)(x - 2)
3. (x - 4)(x - 2)
4. (x + 4)(x + 2)

We can see that option c) (x - 4)(x - 2) is in factored form because it is expressed as a product of two binomial expressions. Therefore, option c) is the correct answer.