Answer:
2 is the answer that I would give. The question says <u>distinct</u> solutions does this graph have.
Step-by-step explanation:
You are asked only how many times this crosses the x axis. You are not asked for an exact value. So the thing to do is graph the polynomial.
y = x^3 - 3x^2 + 4
The graph says that x = -1 with a multiplicity of 1
It also says that x=2 is a solution with a multiplicity of 2 (meaning there are 2 roots are the same).
So this polynomial factors into y = (x + 1)(x - 2)(x - 2)
The square of a prime number is not prime.
a) let x ∈ R, If x ∈ {prime numbers}, then ∉{prime numbers}
there says that if x is a real and x is in the set of the prime numbers, then the square of x isn't in the set of prime numbers.
b) Prove or disprove the statement.
ok, if x is a prime number, then x only can be divided by himself. Now is easy to see that = x*x can be divided by himself and x, then x*x is not a prime number, because can be divided by another number different than himself