Exponents with polynomials

Algebra Level 2

Find b if the polynomial x 3 b x 2 + 5 x b = 0 x^3 - bx^2 + 5x - b = 0 has -1 as one of its root?


The answer is -3.

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1 solution

p(-1)=0 This implies (-1)^3 -b(-1)^2 + 5(-1) -b=0. -1-b-5-b=0 ; -2b-6=0; -2b=6; b=-3;

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