[PDF] 8 4 factoring trinomials ax2 bx c

  • What is the first step when factoring the trinomial ax2 bx c?

    Step 1: Look for a GCF and factor it out first. Step 2: Multiply the coefficient of the leading term a by the constant term c. List the factors of this product (a • c) to find the pair of factors, f1 and f2, that sums to b, the coefficient of the middle term.
  • If a trinomial of the form x2+bx+c factors into the product of two binomials, then the coefficient of the middle term is the sum of factors of the last term. Not all trinomials can be factored as the product of binomials with integer coefficients. In this case, we call it a prime trinomial.
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