Question

Factoring trinomials 3x^3-24x^2+45x​

Answer 1

Answer:

Option B: 3x(x - 3)(x - 5)

Step-by-step explanation:

The given polynomial is: 3x³ - 24x² + 45x

To factorize it: 3x³ - 24x² + 45x

Since, 3x is common through out we can take it out.

⇒               3x(x² - 8x + 15)

Now we have to factorize (x² - 8x + 15)

The roots of this quadratic equation is: 5, 3.

Therefore, x² - 8x + 15 = (x - 3)(x - 5)

Combining them, the factors of the polynomial would be:

(B)                                     3x(x - 3)(x - 5)