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7.3 multiplying polynomials quiz simplify: (3x(x+5) = 3x^2 + )

Question

7.3 multiplying polynomials quiz

simplify:

(3x(x+5) = 3x^2 + )

Explanation:

Apply the distributive property

Using the Distributive Property and Multiplying Polynomials knowledge points

$$ 3x(x + 5) = (3x \cdot x) + (3x \cdot 5) $$

Simplify the terms

Using the Multiplying Polynomials knowledge point

$$ 3x(x + 5) = 3x^2 + 15x $$

Identify the missing term

Using the Multiplying Polynomials knowledge point

$$ 3x^2 + 15x = 3x^2 + \text{blank} \implies \text{blank} = 15x $$

Answer:

Simplify:

\(3x(x+5) = 3x^2 +\) <blank>\(15x\)</blank>