Which of the following is one of the zeros of | vedclass

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(C) To find the zeros of the polynomial $p(x) = x^{3}-3x^{2}-5x+15$,we set $p(x) = 0$.Factor by grouping:$x^{2}(x-3) - 5(x-3) = 0$$(x^{2}-5)(x-3) = 0$

Vedclass · Accepted Answer

$3$

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(C) To find the zeros of the polynomial $p(x) = x^{3}-3x^{2}-5x+15$,we set $p(x) = 0$.Factor by grouping:$x^{2}(x-3) - 5(x-3) = 0$$(x^{2}-5)(x-3) = 0$The zeros are found by setting each factor to zero:$x-3 = 0 \implies x = 3$$x^{2}-5 = 0 \implies x^{2} = 5 \implies x = \pm\sqrt{5}$Comparing these values with the given options,$3$ is one of the zeros.

Which of the following is one of the zeros of the polynomial $x^{3}-3x^{2}-5x+15$?

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