x四次方+x³+x²-1(因式分解)
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![x四次方+x³+x²-1(因式分解)](/uploads/image/z/363627-27-7.jpg?t=x%E5%9B%9B%E6%AC%A1%E6%96%B9%2Bx%26%23179%3B%2Bx%26%23178%3B-1%28%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%29)
x四次方+x³+x²-1(因式分解)
x四次方+x³+x²-1(因式分解)
x四次方+x³+x²-1(因式分解)
x^4+x^3+x^2-1
=x^3(x+1)+(x-1)(x+1)
=(x^3+x-1)(x+1)
x^4+x³+x²-1
=x^4-1+x³+x²
=(x²+1)(x²-1)+x(x²+1)
=(x²+1)(x²+x-1)
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(X+1)[X3 +X -1]