The actual equation itself is the polynomial. There is no polynomial for it, and your question doesn't really make sense.
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x2 + 11x + 30 = 0 (x + 5)(x + 6) = 0 so the roots are -5 and -6
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.
It is: x^2 +11x +24 = (x+8)(x+3) when factored
Yes
-x2 - 11x + 26 = -(x2 + 11x - 26) = -(x2 - 2x + 13x - 26) = -[ x(x - 2) + 13(x - 2) ] = -(x + 13)(x - 2) = (x + 13)(2 - x)