Question

multiplying polynomials: tutorial
question
use the distributive property to multiply the polynomials.
-5x²(6x - 1)
enter the simplified polynomial expression in the box.

Explanation:

Step1: Apply distributive property

Multiply $-5x^2$ by each term inside the parentheses: $-5x^2 \cdot 6x + (-5x^2) \cdot (-1)$

Step2: Calculate each product

For $-5x^2 \cdot 6x$: $-5 \cdot 6 = -30$, $x^2 \cdot x = x^{3}$ → $-30x^3$; For $-5x^2 \cdot (-1)$: $(-5) \cdot (-1) = 5$ → $5x^2$

Step3: Combine results

Combine the two terms to get the simplified polynomial.

Answer:

$-30x^3 + 5x^2$