0
It is prime only for x = -4 and x = -7. For any other integer x, the value of this expression is not prime.
First of all, a Prime number is a number only divisible by two positive numbers: 1 and itself.
Factoring out the expression, we have:
x² + 11x + 30 = (x+5) (x+6)
So the result is divisible by at least two numbers, (x+5) and (x+6). The only cases where this lead to a prime number are the ones where one of the factors is 1 and the other isn't 0 (since 0 is not prime):
x = -4 => (-4 + 5) (-4 + 6) = 2
x = -7 => (-7 + 5) (-7 + 6) = (-2) (-1) = 2
If x must be a counting number, then there's no x for which the expression value is prime.
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What Are the roots of x2 plus 11x plus 30 equals 0?
x2 + 11x + 30 = 0 (x + 5)(x + 6) = 0 so the roots are -5 and -6
How do you factor x2 plus 11x plus 30?
The factors of (x2 + 11x + 30) are (X + 5) and (x + 6)You want to look for two numbers, when multiplied equal 30, and when added equal 11. Start with factors of 30, and see what they add to: 5+6=11, and 5*6=30.
What is the polynomial for x2 plus 11x plus 30?
The actual equation itself is the polynomial. There is no polynomial for it, and your question doesn't really make sense.
What is the answer for x2 plus 11x plus 24?
It is: x^2 +11x +24 = (x+8)(x+3) when factored
What is the factorization of this trinomial -x2 - 11x plus 26?
-x2 - 11x + 26 = -(x2 + 11x - 26) = -(x2 - 2x + 13x - 26) = -[ x(x - 2) + 13(x - 2) ] = -(x + 13)(x - 2) = (x + 13)(2 - x)
