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How Do You Factor a Trinomial?

Factor x2-7•x+10

Summary

  1. To determine the template, we need to figure out the signs that go in each set of parentheses
  2. Factor the first term, x2, to figure out the first terms of the binomials
  3. Factors are numbers or variables that multiply together to form a product
  4. A polynomial is an expression of two or more algebraic terms.
  5. Factor the last term, 10, to figure out the second terms of the binomials
  6. If we get our original polynomial when we FOIL, we know our answer is correct

Notes

    1. To determine the template, we need to figure out the signs that go in each set of parentheses
    2. A polynomial is an expression of two or more algebraic terms.
    1. To determine the template, we need to figure out the signs that go in each set of parentheses
    2. A polynomial is an expression of two or more algebraic terms.
    1. We need to factor the first term of the polynomial to determine the first terms of the binomials
    2. x2 factors into x•x
    3. A polynomial is an expression of two or more algebraic terms.
    1. A term is one of the numbers that you factor out to create the polynomial.
    2. 10 factors into 1•10, 2•5, -1•-10, and -2•-5
    3. A polynomial is an expression of two or more algebraic terms.
    1. If we get our original polynomial when we FOIL, we know our answer is correct
    2. FOIL is an acronym that stands for First Outer Inner Last, which is how you multiply binomials together