Part a: factor 5x2a2 − 19xa2 − 4a2. show your work. (4 points) part b: factor x2 + 14x + 49. show your work. (3 points) part c: factor x2 − 100. show your work. (3 points)

Part A:
 For this case we have the following polynomial:
 
 First we make a common factor a^2:
 We have then:
 
 From here, we can factor the quadratic expression into parentheses.
 We have then:
 
 
 

 Part B:
 For this case we have the following polynomial:
 
 We factor the expression.
 To do this, we write two numbers that added are 14 and multiplied are 49.
 We have then:
 
 
 

 Part C:
 For this case we have the following polynomial:
 
 We observe that we have a binomial, therefore, we must factor.
 To do this, we write two numbers that added are 0 and multiplied are -100.
 We have then: