Factor completely 12x5 + 6×3 + 8x2

Answer 1

First, factor out the greatest common factor of the terms: 2x2

2x2(6x3 + 3x + 4)

Next, attempt to factor the quadratic expression inside the parentheses. This can be done by using the quadratic formula or by observing that it can be factored into (2x + 1)(3x + 2).

2x2(2x + 1)(3x + 2)

Therefore, the fully factored form is: 2x2(2x + 1)(3x + 2).