Factor the following polynomial.
2x^3– 10x^2 – 12x
Enter the GCF of
the polynomial.
2 answers:
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
The equation
2x(
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