Question

Write the equation y = -2x³ + 12x² - 18x in the form y = -ax(x + b)²

Answer 1

To write the equation y = -2x³ + 12x² - 18x in the form y = -ax(x + b)², factor out the common terms from the trinomial and rewrite it as the square of a binomial.

Step-by-step explanation:

To write the equation y = -2x³ + 12x² - 18x in the form y = -ax(x + b)², we need to factor out the common terms from the trinomial. First, factor out the negative sign from the trinomial:

y = -2x(x² - 6x + 9)

Next, rewrite the trinomial as the square of a binomial:

y = -2x(x - 3)²

Now, the equation is in the desired form y = -ax(x + b)².