Presentation on theme: "Factoring – Trinomials (a ≠ 1),"— Presentation transcript:
1Factoring – Trinomials (a ≠ 1), Bottoms Up MethodThis is the third method shown for factoringThe two previous methods shown wereGuess and Checkac.You only need to know one of the three methods!Bottoms Up will be explained using an example.
2Example 1Factor:Determine the value of ac.Write a trinomial in theform of x2+bx+ac.We already know how to factor trinomials of this form.
3Since b=17 is positive, let the negative factor be the smaller of the two numerical values.Factors of -60Sum of Factors
4Write two factorsusing the two numbers.Divide the two numbers by the value of a in the original trinomial.
5Reduce the fractions.Complete using the “bottoms up” step
7Example 2Factor:Determine the value of acWrite a trinomial in theform of x2+bx+ac.
8To multiply and get 420 which is positive, the factors will need to be the same sign.To add to -43 means they will both be negative.Factors of 420Sum of FactorsStart with larger numbers since we know (-1)(-420) won’t even be close.
9Write two factorsusing the two numbers.Divide the two numbers by the value of a in the original trinomial.
10Reduce the fractions.Complete using the “bottoms up” step