Solve: 10x(? + ?) = 20x + 30x² | Finding Missing Terms

To solve the problem $10x(?+?)=20x+30x^2$, we need to determine functions of $x$ such that factorization using the distributive property divides the polynomial as needed.

Step 1: Start by factoring the common term on the left side:

The expression $10x(?+?)$ suggests that $10x$ should factor terms from the polynomial $20x + 30x^2$.

Step 2: Distribute backward:

• The term $20x$ can be rewritten as $10x \times 2$.
• The term $30x^2$ can be rewritten as $10x \times 3x$.

Thus, using factorization, the expression becomes:

$10x(2 + 3x) = 20x + 30x^2$

This completes the expression and verifies the factorization is correct.

Therefore, the missing values are $2, 3x$, corresponding to choice .