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LARPCALC10 2.5.029.
Find all real solutions of the polynomial equation. (Enter your answers as a comma-separated list.)
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3.
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DETAILS
MY NOTES
LARPCALC10 2.5.029.
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SUBMIT ANSWER
Ask by Wheeler Fleming. in the United States
Jan 15,2025
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The real solutions are
,
, and
.
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To solve the polynomial equation
, we can start by factoring or using the Rational Root Theorem to find possible rational solutions. After some testing, we may find that
is a root. By performing synthetic division, we can reduce the cubic polynomial to a quadratic one, making it easier to find the remaining roots.
Once the cubic polynomial is factored and simplified, we can use the quadratic formula on the resulting equation to find all real solutions. Making sure to check all roots against the original equation is crucial for confirming their validity.
In summary, the real solutions to the equation are
.
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