Question

Find the value of c that makes the expression a perfect trinomial. Then write the expression as a square of a binomial.

Expression: w^2 + 13w + c

A) Value of c:
B) Expression as a square of a binomial:
a) (w + 6.5)^2
b) (w + 13)^2
c) (w + 6.5w)^2
d) (w + 7)^2

Answer 1

To make the expression a perfect trinomial, the value of c is 6.5^2. The expression can be written as (w + 6.5)^2.

Step-by-step explanation:

In order for the expression w^2 + 13w + c to be a perfect trinomial, we need to find the value of c that completes the square. To do this, we can use the formula:

a^2 + 2ab + b^2 = (a + b)^2

In this case, the value of a is w and the value of b is half of the coefficient of w, which is 13/2.

So, the expression as a square of a binomial is (w + 6.5)^2 (Option A).