x2 + 11x + 30 = 0
(x + 5)(x + 6) = 0
so the roots are -5 and -6
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(x+5)(x+6) equals x^2 +11x+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.
There's a factor pair of 30 that adds up to 11. (x + 5)(x + 6)
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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