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How Do You Factor a Trinomial?
Factor x2-7•x+10
Summary
- To determine the template, we need to figure out the signs that go in each set of parentheses
- Factor the first term, x2, to figure out the first terms of the binomials
- Factors are numbers or variables that multiply together to form a product
- A polynomial is an expression of two or more algebraic terms.
- Factor the last term, 10, to figure out the second terms of the binomials
- If we get our original polynomial when we FOIL, we know our answer is correct

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