Question

Given: X = r + 2, Y = 2r - 9, and Z = r² + 17r + 30.

Simplify [X · Y - Z] ÷ X.

a) -r - 24
b) r - 24
c) 2r2 - 6r - 33
d) 2r2 + 6r + 33

Answer 1

(B)
factor Z=(r+15)(r+2)
so, [(X)(Y)-Z] = (r+2)(2r-9)-(r+15)(r+2)
take out CF = (r+2)[(2r-9)-(r+15)]
now divide the whole thing by X will get
= (2r-9)-(r+15)
= r-24