Question

Find the value of c and write the square of the binomial that expresses the trinomial in each below

Answer 1

c = unknown constant. Trinomial squares to
`(c + 16x)^2.`

Let's find the value of c and write the square of the binomial that expresses the trinomial in the equation:

2x+14x+c

We can solve the equation by combining like terms and rearranging them.

Steps to solve:

1. Combine like terms:

2x+14x+c=(2+14)x+c=16x+c

2. Rearrange terms:

16x+c=c+16x

Answer:

c+16x

The square of the binomial that expresses the trinomial is:

`(c + 16x)^2.`