Trinomial+Where+A+Does+Not+Equal+1

= How to factor a trinomial when "a" does not equal 1. = = (Grouping Method) =

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 * === Problem: 2x ²-11x+15===
 * === 1. Mutiply the first and last numbers together. 2x15=30 ===
 * === 2. Now find two numbers that will multiply together to get 30 and add up to get -11. ===
 * ===3. In this case, we get -6 and -5.===
 * ===4. Replace this middle number (-11x) with the two new numbers (-6x-5x).===
 * ===5. The new quadratic equation comes out to be 2x ²-6x-5x+15 which we will now split into two binomials.===
 * ===6. We get ( 2x ²-6x)+(-5x+15) Now factor out the GCF of each binomial.===
 * ===7. 2x(x-3)-5(x-3) Now treat the two (x-3)'s as one binomial and create a new binomial with the terms outside of the parentheses.===
 * ===8. (2x-5)(x-3) This quadratic equation is now fully factored. Job well done. ;)===