Q:

Which are the solutions of x^2 =-7x-8

Accepted Solution

A:
Answer:x 2 + 7 x − 8 = ( x − 1 ) ( x + 8 )Step-by-step explanation:Given  x 2 + 7 x − 8 Note that the sum of the coefficients is  0  That is  1 + 7 − 8 = 0 So  x = 1  is a zero and  ( x − 1 ) a factor:  x 2 + 7 x − 8 = ( x − 1 ) ( x + 8 ) The linear factor  ( x + 8 )  can be constructed by looking at the coefficients of  x 2  and the constant term  − 8 that we want in the product: Since the coefficient of  x 2  is  1  in the product, we require a coefficient  1  for  x Since the constant term is  − 8 in the product, we require a constant  + 8 in the factor which will become  − 8  when multiplied by  − 1