SOLUTION: Hello Tutors, I have been under the weather and trying to play catch now. I need your assistance with solving these polynomials. Basically I need to factor these expressions. If

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello Tutors, I have been under the weather and trying to play catch now. I need your assistance with solving these polynomials. Basically I need to factor these expressions. If      Log On


   

Question 1022009: Hello Tutors,
I have been under the weather and trying to play catch now. I need your assistance with solving these polynomials. Basically I need to factor these expressions. If not, I will have to label it as prime. If possible, can someone show me step-by-step with the easiest method to solve both of these expressions. I would really appreciate it. Thank you kindly.
1. 12x2 + 28x - 24
2. 12m2 – mn – 20n2
Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
Hello Tutors,
I have been under the weather and trying to play catch now. I need your assistance with solving these polynomials. Basically I need to factor these expressions. If not, I will have to label it as prime. If possible, can someone show me step-by-step with the easiest method to solve both of these expressions. I would really appreciate it. Thank you kindly.
1. 12x2 + 28x - 24
2. 12m2 – mn – 20n2
12x%5E2+%2B+28x+-+24

4%283x%5E2+%2B+7x+-+6%29 ------- Factoring out GCF, 4

highlight_green%284%283x+-+2%29%28x+%2B+3%29%29 ------ Factoring 3x%5E2+%2B+7x+-+6



2.12m%5E2+-+mn+-+20n%5E2

12m%5E2+-+16mn+%2B+15mn+-+20n%5E2 ------- Substituting matrix%281%2C3%2C+-+16mn+%2B+15mn%2C+for%2C+-+mn%29 

4m%283m+-+4n%29+%2B+5n%283m+-+4n%29

highlight_green%28%284m+%2B+5n%29%283m+-+4n%29%29