Final answer:
To multiply the polynomials (2x - 5)(7x+8), use the distributive property to multiply each term of the first polynomial by each term of the second polynomial. Simplify the resulting expression by combining like terms.
Step-by-step explanation:
To multiply the polynomials (2x - 5)(7x+8), you can use the distributive property. This property states that for any three real numbers a, b, and c, the product of a and the sum of b and c is equal to the sum of the products of a and b, and a and c. Using this property, you can multiply each term of the first polynomial by each term of the second polynomial:
(2x - 5)(7x+8) = 2x * 7x + 2x * 8 - 5 * 7x - 5 * 8
Simplifying further, we get:
14x^2 + 16x - 35x - 40 = 14x^2 - 19x - 40
Learn more about Multiplying polynomials