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How do you multiply two bionomials?
ONE WORD...FOIL. The FOIL method is a way to multiply binomials. "FOIL" is an acronym to remember a set of rules to perform this multiplication. To FOIL you multiply together all of the following: * F: Firsts * O: Outers * I: Inners * L: Lasts and then you add each of these products as demonstrated in the examples below. Let's take two arbitrary binomials. (x+a)(x+b) First: x^2 Outers: bx Inners: ax Last: ab So the product of these two binomials is x^2+bx+ax+ab Which we can simplify as x^2+x(a+b)+ab This is NOT the only way, another way is as below: (x+a)(x+b) Start with the x in x+a and multiply it by both terms in x+b so we have x^2+xb Now do the same with the a in x+a and we have ax+ab Add these all together and you have the same result as you did with the foil method. So why not just use foil? Why have two methods when one is plenty? GOOD QUESTION! The second method can be generalized to trinomials or any other types of polynomial multiplication and the FOIL method can't be.
Why do you use the foil method?
To find the factor of 2 binomials
When do you use foil method?
You use it in math, especially in algebra 1. The F.O.I.L method is like the distributive property basically.
What is (9x2 10x 4) (9x2 5x 1?
To multiply the polynomials ( (9x^2 + 10x + 4) ) and ( (9x^2 + 5x + 1) ), you can use the distributive property (also known as the FOIL method for binomials). Multiply each term in the first polynomial by each term in the second polynomial, then combine like terms. The resulting polynomial will be a degree 4 polynomial. For the full expansion, the result is ( 81x^4 + 85x^3 + 49x^2 + 20x + 4 ).
What method do Chinese use to work out multiplication sums?
They draw lines such as when you would try to figure out 7x6 you would make | for the 7 and _____ this way for the 6 then make half like circles on all 4 corners and count as you write them down. The answer is write every time but you can only do up to 2 digits.
