Question

The zeroes of the quadratic polynomial x² + 88x + 125 are 

(a) both positive 

(b) both negative 

(c) one positive and one negative 

(d) both equal

Answer 1

(b) both negative 

Let α and β be the zeroes of x² + 88x + 125. 

Then α + β = – 88 and α × β = 125 

This can only happen when both the zeroes are negative.