Question

Express -2x^2-3x-1 in the form a(x+p)^2+q

Answer 1

Step-by-step explanation:

x^2-3x+5

let it be (x-p)^2 + q = x^2 - 2px + p^2 + q

-3 = -2p ...... p = -3/-2 = 3/2 ... p^2 = 9/4 ... 5 = 9/4 + 11/4 ... q = 11/4

x^2-3x+5

= [x^2 - 2(3/2)x + (3/2)^2] + 11/4

= (x - 3/2)^ + 11/4 .................. answer

I Hope you are happy with this answer