SOLUTION: which expression is prime number? a.x2+4x+3 b.x2+5x+6 c.x2+6+8 d.none of the above

Question 458820: which expression is prime number?
a.x2+4x+3
b.x2+5x+6
c.x2+6+8
d.none of the above
Found 2 solutions by MathLover1, richard1234:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

A prime number (or a prime) is a natural number that has exactly two distinct natural number divisors: 1 and itself,
and it be a whole number than .

The smallest twenty-five prime numbers (all the prime numbers under 100) are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

a.

solutions:

or

b.

or

c.

so, the answer is: d.none of the above

Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
The phrase "prime number" is reserved only for positive integers, not polynomial expressions. However, if you mean "which expression is a *prime polynomial*" that makes more sense (prime polynomial is a polynomial that cannot be factored into linear factors with integer coefficients).

We can see that a and b factor to (x+1)(x+3) and (x+1)(x+5) respectively. I have to assume you mean x^2 + 6x + 8 for c), which factors to (x+2)(x+4). So the answer is d), none of the above.
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