Factoring Quadratic Trinomial

​A quadratic trinomial is an algebraic expression​ with 3 terms separated by + and - with a degree of 2. The largest power of x is 2.

What is a quadratic trinomial?​

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• List all of the factors of c

• Decide which combination of numbers will add up to b ( keep their signs)

• Write the factored form: (x+__)(x+__)

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Factoring trinomials of the form

ax²+bx+c​

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​If b and c are both positive, the factors are of the forms (x+_) (x+_) and the two numbers that we are looking for are both positive.

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​If b is negative and c is positive, it tells us that the two numbers that we are looking for are both negative.

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Example: x² - 7x + 12 = (x-3)(x-4)​

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​When c is negative, it means ​that the two numbers have a different sign. The sign of the middle term tells you the sign of the larger number.

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Examples: x² + 11x - 12 = (x+12)(x-1)

x² - 7x - 18 = (x -9)(x+2)

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