Question

Factor 2m2 - m - 21​

Answer 1

Answer:

(2m-7)(m+3)

Step-by-step explanation:

hello:

2m² - m - 21​

∆ =b²-4ac    a=2  and  b= -1   and  c= -21

∆ =(-1)²-4(2)(-21)=169 = 13²

m1 = (-b+√∆)/2a = (1+13)4 = 14/4 = 7/2

m2 = (-b-√∆)/2a = (1-13)4 = -12/4 = -3

the factorization is : a(m-m1)(m-m2)

2(m-7/2)(m+3) = (2m-7)(m+3)