Question

Complete the square for each expression. Write the resulting expression as a binomial. x^2+14x+____

Answer 1

To complete the square is take the second term in the expression, divided it by 2 and then squared it. This will be the number that we have to add to the original expression.

(14/2)^2=49

so, completing the expression:

x^2+14x+49

Then, the new expression can be factored into a single term squared:

x^2+14x+49= (x+7)^2