Question

Find each product. $$-5\left(3 x^{2}-7 x\right)$$

   Find each product.
$$-5\left(3 x^{2}-7 x\right)$$

Prealgebra

Carol E. Malloy,… 1st Edition

Chapter 13, Problem 2

Instant Answer

Solved by Expert Julie Silva

05/20/2020

Step 1

This is done using the distributive property of multiplication over addition. Show more…

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Find each product. $$-5\left(3 x^{2}-7 x\right)$$

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Key Concepts

Distributive Property

The distributive property is a fundamental algebraic principle that allows you to multiply a single term by each term inside a set of parentheses. This property is essential for simplifying expressions where a constant or another expression multiplies a polynomial, as it ensures that every term within the parentheses is accounted for in the multiplication process.

Multiplication of a Constant with a Polynomial

When multiplying a polynomial by a constant, each term of the polynomial is multiplied by that constant. This process involves adjusting the coefficients of the polynomial's terms accordingly, and it is a key technique in algebra for scaling expressions or simplifying products.

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