Multiply the polynomials (3x – 1) (2x + 4).    

To multiply the polynomials \((3x - 1)(2x + 4)\), we'll apply the distributive property, also known as the FOIL (First, Outer, Inner, Last) method. 

Let's go through the steps:

1. **First:** Multiply the first terms in each binomial:
   \[
   3x \times 2x = 6x^2
   \]

2. **Outer:** Multiply the outer terms:
   \[
   3x \times 4 = 12x
   \]

3. **Inner:** Multiply the inner terms:
   \[
   -1 \times 2x = -2x
   \]

4. **Last:** Multiply the last terms in each binomial:
   \[
   -1 \times 4 = -4
   \]

Now, combine all these results:
\[
6x^2 + 12x - 2x - 4
\]

Finally, simplify by combining like terms:
\[
6x^2 + 10x - 4
\]

So, the product of \((3x - 1)(2x + 4)\) is \(6x^2 + 10x - 4\).

Would you like further details on this process or have any questions?

Here are some related questions for practice:
1. Multiply \((x + 3)(x - 5)\).
2. Expand \((4x - 2)(3x + 7)\).
3. Multiply \((5x + 1)(2x - 3)\).
4. Expand and simplify \((2x + 3)(x - 4)\).
5. Multiply \((x^2 - 1)(x + 2)\).

**Tip:** Always combine like terms after multiplying polynomials to simplify the final expression.

Multiply the polynomials (3x – 1) (2x + 4).

Learn how to multiply the polynomials (3x – 1) (2x + 4) using the distributive property and FOIL method. This problem covers key algebraic concepts related to polynomial multiplication, suitable for students in Grades 8-10. Follow our step-by-step guide to simplify the expression to 6x^2 + 10x - 4.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation