The equation [tex]2x^{3} -10x^{2} -12x[/tex] has 2 and x in common. This means you can factor both the 2 and x out of the equation like so...
2x([tex]x^{2} -5x-6[/tex])
Hope this helped!
~Just a girl in love with Shawn Mendes
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
