Question Use the Factor Theorem, to find the zeros of f(x) = x³ - 2x² - 93x + 270 given that (x-3) is a factor of the polynomial.

Metagrapher asked Nov 8, 2023

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Question

Use the Factor Theorem, to find the zeros of f(x) = x³ - 2x² - 93x + 270 given that (x-3) is a factor of the polynomial.

Metagrapher asked Nov 8, 2023

2.5k points

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27 votes

Answer:
x=-10, 3, 9

Explanation:

$(f(x))/(x-3)=x^2 +x-90\\\\\implies f(x)=(x^2 +x-90)(x-3)\\\\=(x+10)(x-9)(x-3)\\\\\implies x=-10, 3, 9$

Bhristov answered Nov 13, 2023

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