Week 7 – Math 10 – Multiplying Polynomials

This week we learned how to multiple binomials and higher using the distributive property this can be done by first looking at the smaller polynomial and multiplying each term by each of the other polynomials’ terms individually not just the like terms and doing that with every term in the polynomial. After multiplying the terms we then combine and arrange the like terms like how we did in adding polynomials to get the simplified form of the product of both of the polynomials. I also learned a way to remember the order of the multiply the binomials with the acronym FOIL which stands for First: first terms of each binomial, Outer the outer terms of each binomial, Inner the two terms closest to the middle, Last the two last terms of each binomial. An example of the distributive property we can show with the binomials (2x-2)(4x+2) we would first start with the F which is 2x times 4x which equals 8×2 next is the O terms 2x times 2 is 4x next the I which are -2 and 4x equals -8x. Lastly, we have the L terms which are -2, and 2 which equals -4. After simplifying this polynomial we get a trinomial that is 8×2-4x-4.

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