What is the product of the polynomials (2x² +  5x)(x – 3)?

To find the product of the polynomials (2x² + 5x)(x – 3), you need to use the distributive property, which states that a(b + c) = ab + ac. Here's how you do it:

Step 1: Distribute each term in the first polynomial to each term in the second polynomial.

2x² * x = 2x³ 2x² * -3 = -6x² 5x * x = 5x² 5x * -3 = -15x

Step 2: Combine like terms.

2x³ - 6x² + 5x² - 15x = 2x³ - x² - 15x

So, the product of the polynomials (2x² + 5x)(x – 3) is 2x³ - x² - 15x.