Factoring Trinomials in the form x2 + bx + c Connections Unit G.10 - Factoring Trinomials Tuesday, March 1 Factoring Trinomials in the form x2 + bx + c Students will be able to factor certain trinomials. Unit G

Factoring Trinomials Follow these steps to factor a trinomial in the form . First look at the last term and find all pairs of factors for that number or coefficient. Find the pair that produces the center term. FHS Polynomials

Factoring Trinomials If the last sign is positive, the two terms will both have the same sign. If the last sign is negative, the two terms will have different signs. Choose the pair of factors that you want to use. Put those factors with the signs into this form: FHS Polynomials

Which pair will give you a positive 1 when you combine them? Example To start look at the last term. Find all pairs of factors of that number. Since the last term is negative, the signs of the two factors must be different. -1 and 12 -2 and 6 -3 and 4 1 and -12 2 and -6 3 and -4 Which pair will give you a positive 1 when you combine them? FHS Polynomials

Examples Find the binomial factors for the following, if possible: 4. 5. 6. FHS Polynomials