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A binomial has two terms, while a trinomial has 3 terms. So both terms of the binomial will multiply each term of the trinomial (distribution property). After the multiplication you'll have 6 terms. Look for like terms, if there are, combine them.
A binomial has two sets and trinomial ha three sets
Binomial. Binomial. Binomial. Binomial.
To factor the trinomial ( x^2 - 12x + 35 ), we need to find two numbers that multiply to 35 and add to -12. The numbers -5 and -7 satisfy these conditions. Therefore, the trinomial can be factored as ( (x - 5)(x - 7) ), and one of the binomial factors is ( x - 5 ).
Monomial.