(2x-3) (6x+1) find the product answer in standard form

To find the product of the expression \((2x - 3)(6x + 1)\) in standard form, follow these steps:

1. **Distribute each term in the first binomial by each term in the second binomial:**
   \[
   (2x - 3)(6x + 1) = 2x \cdot 6x + 2x \cdot 1 - 3 \cdot 6x - 3 \cdot 1
   \]

2. **Multiply the terms:**
   \[
   = 12x^2 + 2x - 18x - 3
   \]

3. **Combine like terms:**
   \[
   = 12x^2 - 16x - 3
   \]

So, the product in standard form is:

\[
\boxed{12x^2 - 16x - 3}
\]

Would you like more details or have any questions?

Here are some related questions:
1. How do you factor quadratic expressions like \(12x^2 - 16x - 3\)?
2. What is the significance of the standard form of a polynomial?
3. How do you find the roots of \(12x^2 - 16x - 3\)?
4. Can you explain the FOIL method used in binomial multiplication?
5. What are some real-world applications of binomial products?

**Tip:** Always combine like terms after multiplying polynomials to simplify the expression to its standard form.

(2x-3)(6x+1) find the product answer in standard form

Learn how to find the product of the binomials (2x - 3)(6x + 1) and express it in standard form. This problem involves polynomial multiplication, the distributive property, and combining like terms. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation