Math 10 – Week 7 – Kana Drill

Something I learned this week was how to factor trinomials. Factoring trinomials is just turning a trinomial into a multiplication equation between 2 binomials. To do this you first have to prime factorize all the terms in the trinomial then find all of the common prime numbers between them. Separate the common terms from the uncommon terms and make turn the uncommon terms into 2 binomials using the pattern used for simple binomial equations.

Ex. $2x^2 + 6x +4$

$2x^2 = 2 \cdot x \cdot x$ $6x = 2 \cdot 3 \cdot x$ $4 = 2 \cdot 2$

(all have one 2 in common)

$2(x^2 + 3x + 2)$ = $2(x + 2)(x + 1)$

The pattern is that for simple binomials (x #)(x #), the answer will always result in $x^2$ , with the first and second constants added together x and the first and second constants multiplied together. whether it’s plus or minus depends on what the terms are. (x + #)(x + #) = ( $x^2$ + #x + #) (x – #)(x – #) = ( $x^2$ – #x + #) (x + #)(x – #) = ( $x^2$ +/- #x – #) (whether the second term is plus or minus depends on whether the bigger constant is positive or negative) (x – #)(x + #) = ( $x^2$ +/- #x – #) (whether the second term is plus or minus depends on whether the bigger constant is positive or negative)

Math 10 – Week 7

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