Question

Decide what number must be added to the binomial to make a perfect square trinomial.

Answer 1

you have too add (one half of the coefficient of x) squared

Answer 2

Consider the binomial Ax² + Bx

Step 1: factor out A ⇒ A(x² +
`(B)/(A)`x)

Step 2: divide the "x" term by 2 ⇒ A(x² +
`(B)/(2A)`x)

Step 3: square the coefficient of the "x" term and add it to the binomial ⇒ A(x² +
`(B)/(2A)`x + (
`(B)/(2A)`)²)

Answer: (
`(B)/(2A)`)²