Question

Which is the factored form of 2x³\+16? Select one:

Answer 1

The factored form of 2x³ + 16 is 2(x + 2)(x² - 2x + 4).

Step-by-step explanation:

The factored form of 2x³ + 16 is 2(x + 2)(x² - 2x + 4).

To factor the expression, we can start by factoring out the greatest common factor, which in this case is 2. So we have 2(x³ + 8).

Now, we can use the formula for sum of cubes: a³ + b³ = (a + b)(a² - ab + b²). In our case, a = x and b = 2. So we have 2(x + 2)(x² - 2x + 4).