Question 6

To multiply , you can use the distributive property, often referred to as the FOIL method for binomials. Begin by multiplying each term in the first polynomial by each term in the second polynomial:

Now, combine the like terms from steps 2 and 3:

Thus, the answer is .

Did you know that the distributive property is one of the cornerstones of algebra and has its roots in ancient mathematics? The method has been utilized for centuries, dating back to ancient Babylonian approaches to arithmetic and geometry!

If you find yourself often mixing up the order of operations when multiplying polynomials, a great tip is to write out each step clearly. This way, you’ll be less likely to lose track of the terms and end up with incorrect coefficients. Plus, it can be fun to color-code your terms as you work to make it visually appealing!