Question

What is the product when x- 5 is multiplied by

2x + 3?
1.) 2x² - 7x - 15
2.) 2x² - 13x - 15
3.) 2x² +13x + 15
4.) 2x² +7x - 15

Answer 1

2x² + 7x - 15.

Explanation:

The product when x- 5 is multiplied by 2x + 3 is 2x² +7x - 15. To find the product, we need to use the distributive property. This states that for any two expressions, a and b, and a constant, c, we have the following:

c * (a + b) = c * a + c * b

We can use this property to expand the expression (x - 5)(2x + 3) as follows:

(x - 5)(2x + 3) = (x * 2x) + (x * 3) + (-5 * 2x) + (-5 * 3)

= 2x^2 + 3x + (-10x) + (-15)

= 2x^2 + 7x - 15

Therefore, the product of the expression (x - 5)(2x + 3) is 2x^2 + 7x - 15, which matches the answer choice 2x² + 7x - 15.