Math Study Strategies

Factoring Trinomials

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1st term of trinomial = (1st term of 1st binomial)(1st term of 2nd binomial)

last term of trinomial = (last term of 1st binomial)(last term of 2nd binomial)

Middle term the trinomi = (Product of outer terms of the binomials) + (Product of inner terms of the binomials)

If all terms of the trinomial are positive, then all terms of the binomials will
be

positive.

**Ex 1**

x^{2}+ 9x + 8 = (x + 8)(x + 1)

If the last term of the trinomial is negative but the middle term and the first
term

are positive, then one term of the binomial will be negative and the other will
be

positive. (The greater factor will be positive and the smaller will be
negative.)

**Ex 2**

x^{2}+ 7x - 30 = (x + 10)(x - 3)

If the middle term and the last term of the trinomial are negative and the first

term is positive, then the sign for one binomial will be positive and the

other will be negative. (The greater factor will be negative and the smaller

will be positive.)

**Ex 3**

x^{2}- 6x - 40 = (x -10)(x + 4)

If the last term and the first term of the trinomial are positive but the middle

term is negative, then both signs of the binomials will be negative

**Ex 4**

x^{2}- 11x + 18 = (x - 2)(x - 9)