jmc

Question

Rewrite the expression 4s^2 + 28s + 45 in the form (cs + p)^2 + q. What is q?

Accepted Answer

We complete the square: align* 4s^2 + 28s + 45 & = (4s^2 + 28s + 49) + 45 - 49 &= (2s + 7)^2 - 4. align*So q is -4.