Factoring is used to solve quadratic equations in order to turn each term into zero to get a solution set. Using the form ax^2+bx+c=0, you need to figure out what numbers would equal c when they are multiplied while the same numbers will total the amount of b when they're added. An example would be 5x^2-5x-10=0.
Because the a in ax^2 is equal to zero, 5x=0. Since x-2=0 and x+1=0 the solution sets are x=0, x=2, x=-1
How do I comment on this for a discussion question to the person that wrote this?
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Did the instructor or a student write this?
a student....just not sure what to write here...to agree or not and to go into detail...I am not good with this stuff...
The student explained the concept somewhat well. They said that when looking to factor a quadratic, you should find two numbers whose product is c and whose sum is b. Were you all supposed to mention if you have an a that doesn't equal 1?
Also, the student factored 5x^2 - 5x - 10 to 5x(x - 2)(x + 1) when it SHOULD be 5(x - 2)(x + 1). Therefore, the solution set should be x = -1 or x = 2, not x = 0.
These are ideas, I'm not sure what else you could extrapolate from that answer.