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 Recall:                         1)      A trinomial is a polynomial with three terms. 2)      A quadratic polynomial is a 2nd degree polynomial in one variable (the highest power of the variable is 2). 3)      The linear term in a polynomial is the 1st degree term (the exponent of the variable is 1). 4)      The constant term in a polynomial is the term without a variable. 5)      “Coefficient” means the number part of a term. 6)      “Sum” means the result of addition 7)      “Product” means the result of addition   HOW TO FACTOR A QUADRATIC TRINOMIAL WITH A LEADING COEFFICIENT OF 1: 1)      Make sure that the polynomial is, in fact, in the correct form:  x2 + bx + c (Note: Since we can’t see the coefficient of the first term, we know the leading coefficient is 1)   2)      Think of two numbers, p and q, whose SUM is the coefficient of the linear term (b) and whose PRODUCT is the constant term (c).   3)      Write the binomial factors – both factors begin with x, one factor ends with p, and one factor ends with q. (Note: Because of the commutative property, the order of the factors doesn’t matter)    EXAMPLES WITH EXPLANATIONS:        (Click here to enlarge) MORE EXAMPLES:        (Click here to enlarge) 