x2 + 5xy - 18y2 can not be factored.
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y=b+x+x^2 This is a quadratic equation. The graph is a parabola. The quadratic equation formula or factoring can be used to solve this.
When factoring it is fairly easy to check your answer. Say we want to factor x2+9x+14=0 (x+7)(x+2)=0 now if we want to check then we can just multiply these together and we should get the original polynomial... x2+2x+7x+14=0 x2+9x+14=0
x2+3x+2=0 (x+2)(x+1)=0 x=-2 or -1
x2(x3 + 1) is the best you can do there.
X2 + 4xx(x + 4)=======