Question

1. Factor the following Perfect Square Trinomial completely. Once you have found the factors, use

the Code Breaker Guide to match the factors to the first piece of the code.
25x²+ 10x + 1
Factors:
Code Piece:

Answer 1

To factor the Perfect Square Trinomial 25x²+ 10x + 1, we can use the factorization (5x + 1)².

Step-by-step explanation:

To factor the Perfect Square Trinomial 25x²+ 10x + 1, we need to determine two numbers that, when multiplied, give us the constant term (1) and, when added, give us the coefficient of the middle term (10x). In this case, the two numbers are 5 and 1. So the factored form of the trinomial is (5x + 1)(5x + 1), which can be further simplified as (5x + 1)².

The Code Breaker Guide requires us to match the factors to the first piece of the code. In this case, the factors are (5x + 1) and the code piece is 5.

Learn more about Factoring Perfect Square Trinomials