Find the factor of the following. Give the solution.
1. x³-x-2
2. x4+2x³-13x²-14x+24
3. x³+2x²-5x-6
1. x³-x-2
2. x4+2x³-13x²-14x+24
3. x³+2x²-5x-6
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SOLUTION⤵️
1. = x³-x-2
= this is not factorable
2. x4+2x³-13x²-14x+24
= x4+2x³ -13x² -14x+24
= x³(x+2)+ (-13x+12)(x+2)
= (x+2)(x³-13x+12)
= (x+2)(x-1)(x²+x-12)
= (x+2)(x-1)(x+4)(x-3)
3. x³+2x²-5x-6
= (x+1)(x²+x-6)
= (x+1)(x+3)(x-2)
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