# SOLUTION: Find all zeros of the polynomial equation x3-2x2+10x+136=0

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 Click here to see ALL problems on Polynomials-and-rational-expressions Question 188383: Find all zeros of the polynomial equation x3-2x2+10x+136=0 Answer by stanbon(57250)   (Show Source): You can put this solution on YOUR website!Find all zeros of the polynomial equation x^3-2x^2+10x+136=0 ---------- I graphed it and found x=-4 is a zero. Use synthetic division to find the other zeroes. ---------- -4)....1....-2....10....136 .........1....-6....34...|..0 Quotient: x^2 - 6x + 34 Use the quadratic formula to find remaining zeroes. x = [6 +- sqrt(36 -4*1*34)]/2 x = [6 +- sqrt(-100)]/2 x = [6 +- 10i]/2 ====================== Zeroes are x = -4, x = (3+5i), x = (3-5i) ========================================= Cheers, Stan H.