Question

Multiply the binomials. $\left(6 x^3+1\right)\left(2 x^2-7 x\right)$

   Multiply the binomials.
$\left(6 x^3+1\right)\left(2 x^2-7 x\right)$

Intermediate Algebra

Intermediate Algebra

Lisa Healey 1st Edition

Chapter 4, Problem 24

Instant Answer

Solved by Expert Julie Silva

04/14/2021

Step 1

We have \( (6x^3 + 1) \) and \( (2x^2 - 7x) \). Show more…

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Multiply the binomials. $\left(6 x^3+1\right)\left(2 x^2-7 x\right)$

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Key Concepts

Binomials

A binomial is a type of polynomial that consists of exactly two terms. Understanding binomials is important because many algebraic expressions and equations are built from or can be simplified to binomials.

Polynomial Multiplication

Polynomial multiplication involves multiplying each term of one polynomial by every term of the other polynomial and then combining like terms. This process is central to many algebraic techniques, including expanding expressions and simplifying equations.

Distributive Property

The distributive property states that multiplication distributes over addition. This property enables the multiplication of a term by a sum or difference within parentheses, ensuring each component of a binomial or polynomial is properly multiplied and accounted for.

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