Mastering the FOIL Method: How to Find the Product of Binomials in Math

(x-8)(x+3)

x²-5x-24

To find the product of the binomials (x – 8) and (x + 3), we can use the FOIL method, which stands for First, Outer, Inner, Last.
– First, multiply the first terms of each binomial, which gives us x^2.
– Outer, multiply the outer terms of each binomial, which gives us -8x.
– Inner, multiply the inner terms of each binomial, which gives us 3x.
– Last, multiply the last terms of each binomial, which gives us -24.

When we combine like terms, the middle terms -8x and 3x add up to -5x. Therefore, the product of the binomials (x – 8) and (x + 3) is:

x^2 – 5x – 24

So, (x-8)(x+3) = x^2 – 5x – 24.

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