use the distributive property to rewrite the polynomial 3x(x+3)

Answer 1

To use the distributive property to rewrite the polynomial \(3x(x + 3)\), you distribute \(3x\) to both terms inside the parentheses:

\[ 3x(x + 3) = 3x \cdot x + 3x \cdot 3 \]

Now, simplify each term:

1. \(3x \cdot x = 3x^2\)
2. \(3x \cdot 3 = 9x\)

Putting it all together, the polynomial becomes:

\[ 3x(x + 3) = 3x^2 + 9x \]

So, the rewritten polynomial is \(3x^2 + 9x\).