Question

Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x2 + 16x

Answer 1

Answer:

$64, \ (x+8)^2$

Step-by-step explanation:

A perfect square trinomial is defined as an expression that is obtained from squaring a binomial equation. The perfect square trinomial is in the form of $ax^2+bx+c$.

The given expression is :

$x^2+16x$

The co-efficient of the x-term in $x^2+16x$ is '16'.

So half of the term 16 ,

$\frac{16}{2} = 8$

and $(8)^2=64$

Now add 64 to the expression:

$x^2+16x+64$

Therefore, the perfect square trinomial is

$(x+8)^2=x^2+16x+64$