solve x^4+2x^3-25x^2-26x+120=0,given that the product of its roots is 8.
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Step-by-step explanation:
0=x^4+2x^3-25x^2-26x+120
0-(((((x4)+(2•(x3)))-52x2)-26x)+120) = 0
0-(((((x4)+2x3)-52x2)-26x)+120) = 0
Pull out like factors :
-x4 - 2x3 + 25x2 + 26x - 120 =
-1 • (x4 + 2x3 - 25x2 - 26x + 120)
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