Question

Suppose that the polynomial functiion is f(x)=3x²(x+6)(x-5)²

Answer 1

To simplify the polynomial function f(x) = 3x²(x+6)(x-5)², multiply the terms inside the parentheses and substitute the results back into the original expression.

Step-by-step explanation:

The polynomial function is f(x) = 3x²(x+6)(x-5)². To simplify this expression, start by multiplying the terms inside the parentheses:

1. (x+6) = x * 6 = 6x
2. (x-5)² = (x-5)(x-5) = x² - 5x - 5x + 25 = x² - 10x + 25

Now, substitute these results back into the original expression:

f(x) = 3x² * 6x * (x² - 10x + 25)

Simplify further if needed.