Explain how you would use the Rational Root Theorem to test if $$ \frac{1}{2} $$ is a root of the polynomial $$ 4x^{3} - 2x + 3 $$.

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Davey Mills · Accepted Answer

The Rational Root Theorem helps find possible rational roots of a polynomial with integer coefficients. For $$ 4x^{3} - 2x + 3 $$, possible roots are factors of 3 divided by factors of 4. Testing $$ \frac{1}{2} $$ in the polynomial gives a non-zero result, so $$ \frac{1}{2} $$ is not a root.

Explain how you would use the Rational Root Theorem to test if \( \frac{1}{2} \) is a root of the polynomial \( 4x^{3} - 2x + 3 \).

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Explain how you would use the Rational Root Theorem to test if \( \frac{1}{2} \) is a root of the polynomial \( 4x^{3} - 2x + 3 \).

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