Final answer:
To multiply the polynomials (2x + 7) and (-2x), you can use the FOIL method to expand and combine like terms.
Step-by-step explanation:
To multiply the polynomials (2x + 7) and (-2x), you can use the FOIL method. FOIL stands for First, Outer, Inner, Last. First, multiply the first terms of each polynomial, which gives you 2x*(-2x). Then, multiply the outer terms, which gives you 2x*7. Next, multiply the inner terms, which gives you 7*(-2x). Lastly, multiply the last terms, which gives you 7*0. Simplify each of these products and combine like terms to get the final result.
The FOIL method is a common method used to multiply two binomials. It helps organize the multiplication process and ensures that all terms are considered. Remember to always combine like terms and simplify the final expression.
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