Question

I need someone to explain ( plz show work)
What is 2x^3 +10x^2+ 12x in factored form

Answer 1

2x(x + 2)(x + 3)

Explanation:

2x³ + 10x² + 12x ← factor out 2x from each term

= 2x(x² + 5x + 6) ← factor the quadratic

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)

The factors are + 2 and + 3 , since

2 × 3 = 6 and 2 + 3 = 5

x² + 5x + 6 = (x + 2)(x + 3)

Then

2x³ + 10x² + 12x = 2x(x + 2)(x + 3)