DIvide x3+x2-14x-24 by x+2Solution x2-x-12/)x-2)x3+x2-14x-24x3+2x/-2x2-14x-x2-2x/-12x-24-12x-24/0In this example we see that x+2 is a factor of x3+x2-14x-24,as the remainder is zero.Thus x3+x2-14x-24÷(x+2)=x2-x-12 with zero remainderso x3+x2-14x

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DIvide x3+x2-14x-24 by x+2Solution x2-x-12/)x-2)x3+x2-14x-24x3+2x/-2x2-14x-x2-2x/-12x-24-12x-24/0In this example we see that x+2 is a factor of x3+x2-14x-24,as the remainder is zero.Thus x3+x2-14x-24÷(x+2)=x2-x-12 with zero remainderso x3+x2-14x
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DIvide x3+x2-14x-24 by x+2Solution x2-x-12/)x-2)x3+x2-14x-24x3+2x/-2x2-14x-x2-2x/-12x-24-12x-24/0In this example we see that x+2 is a factor of x3+x2-14x-24,as the remainder is zero.Thus x3+x2-14x-24÷(x+2)=x2-x-12 with zero remainderso x3+x2-14x
DIvide x3+x2-14x-24 by x+2
Solution x2-x-12/)x-2)x3+x2-14x-24
x3+2x/-2x2-14x
-x2-2x/-12x-24
-12x-24/0
In this example we see that x+2 is a factor of x3+x2-14x-24,as the remainder is zero.
Thus x3+x2-14x-24÷(x+2)=x2-x-12 with zero remainder
so x3+x2-14x-12/x+2=x2-x-12

DIvide x3+x2-14x-24 by x+2Solution x2-x-12/)x-2)x3+x2-14x-24x3+2x/-2x2-14x-x2-2x/-12x-24-12x-24/0In this example we see that x+2 is a factor of x3+x2-14x-24,as the remainder is zero.Thus x3+x2-14x-24÷(x+2)=x2-x-12 with zero remainderso x3+x2-14x
(x³+x³-14x-24)÷(x+2)=x²-x-12.
由x³+x²-14x-24
=x³-x³-12x+2x²-2x-24
=x(x²-x-12)+2(x²-x-12)
=(x²-x-12)(x+2).

是考SAT吗?