Question

Factor the following polynomial. 2x^3– 10x^2 – 12x Enter the GCF of the polynomial.

Answer 1

Answer:

2x(x - 6)(x + 1)

Step-by-step explanation:

Given

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

= 2x(x² - 5x - 6)

To 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 - 6 and + 1, since

- 6 × 1 = - 6 and - 6 + 1 = - 5, thus

x² - 5x - 6 = (x - 6)(x + 1) and

2x³ - 10x² - 12x = 2x(x - 6)(x + 1) ← in factored form

Answer 2

The equation $2x^{3} -10x^{2} -12x$ has 2 and x in common. This means you can factor both the 2 and x out of the equation like so...

2x($x^{2} -5x-6$)

Hope this helped!

~Just a girl in love with Shawn Mendes