Question

Multiply. (3x+4)(2x1) Express the answer in standard form.

Answer 1

To multiply (3x+4)(2x+1), use the distributive property to expand the product and then combine like terms, resulting in the standard form 6x^2 + 11x + 4.

Step-by-step explanation:

The student asked to multiply (3x+4)(2x+1) and express the answer in standard form. To do this, we use the distributive property (also known as the FOIL method when dealing with two binomials) to expand the product.

Here’s a step-by-step breakdown of the process:

1. Multiply the first terms in each binomial: 3x times 2x equals 6x^2.
2. Multiply the outside terms: 3x times 1 equals 3x.
3. Multiply the inside terms: 4 times 2x equals 8x.
4. Multiply the last terms in each binomial: 4 times 1 equals 4.
5. Add all the products together to get the standard form: 6x^2 + 3x + 8x + 4.
6. Combine like terms (3x and 8x): 6x^2 + 11x + 4.

The final answer in standard form is 6x^2 + 11x + 4.