Can you factor X squared 1?
Originally Answered: Can you factor x^2+1? yes.
Is X 1 a factor?
x – 1 is not a factor of f (x).
What are the factors of a squared minus b squared?
When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).
Why is negative 1 squared negative?
The answer is 1. The calculator said -1 because of the way calculators handle inputs. When a calculator sees it breaks it down in an odd way. Instead of how a person would interpret it, as squaring negative one, a calculator interprets it as taking 1 squared and returning its negative.
When you square a negative number does it stay negative?
Answer: Yes. If a number is squared, it becomes positive. The square of a number can be found by multiplying the number by itself. Explanation: The product of two negative numbers is always positive.
Is 1 a perfect square?
Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.
What is the meaning of “minus one squared”?
The usual interpretation of the phrase “minus one squared” would be to apply the minus first and the square second giving plus one, but you could apply the square first (to get one) and the minus second producing minus one. This illustrates that the phrase is ambiguous. The same is true in mathematical notation. [math]-1^2 [/math] could mean:
Is it possible to divide x by zero?
As long as we allow for some difference between x and 1, we aren’t dividing by zero and the operation is valid.
Why was he allowed to substitute 1 for X?
He was allowed to substitute 1 for x even though there was a restriction of “x does not equal 1” because he was finding the limit of the original expression as x approaches 1. To find the limit, he can substitute 1 for x into the new expression for which x=1 is defined to get the limit for the old expression for which x=1 is not defined.