If (x + 5)(2x - 3) is expanded, which expression do you get?

To find the expression resulting from the expansion of (x + 5)(2x - 3), you can use the distributive property, often referred to as the FOIL method for binomials. This involves multiplying each term in the first binomial by each term in the second binomial.

Start by multiplying the first terms:

• x * 2x = 2x²

Next, multiply the outer terms:

• x * -3 = -3x

Then, multiply the inner terms:

• 5 * 2x = 10x

Finally, multiply the last terms:

• 5 * -3 = -15

Now, combine all these results:

• 2x² (from the first terms)

• -3x + 10x (from the outer and inner terms combined gives 7x)

• -15 (from the last terms)

Putting it all together gives:

2x² + 7x - 15

This matches the fourth option, confirming that it is indeed the correct answer. The overall expression represents a quadratic polynomial formed by expanding the initial binomial expression.