what are the factors of x³+4x²-11x-30?
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=(x³+4x²-5x)-(6x-30)
=x(x²+4x-5)-6(x-5)
=x(x²-5x+x-5)-6(x-5)
=x{(x-5)(x+1)}-6(x-5)
=(x-5){x²+x-6}
=(x-5){x²+3x-2x-6}
=(x-5)(x+3)(x-1)
x=5,-3,1
=x(x²+4x-5)-6(x-5)
=x(x²-5x+x-5)-6(x-5)
=x{(x-5)(x+1)}-6(x-5)
=(x-5){x²+x-6}
=(x-5){x²+3x-2x-6}
=(x-5)(x+3)(x-1)
x=5,-3,1
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