Use the rational zeros theorem to list all possible zeros of the function f(x)=7 x^{3}-3 x^{2}-x+2 Enter the possible zeros separated by commas. You do not need to factor the polynomial.

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Step:1 ：Given the function (f(x)=7 x^{3}-3 x^{2}-x+2).Step:2 ：We use the Rational Root Theorem which states that if a polynomial has a rational root, then it must be a factor of the constant term divided by a factor of the leading coefficient.Step:3 ：In this case, the constant term is 2 and the leading coefficient is 7.Step:4 ：The factors of 2 are 1 and 2, and the factors of 7 are 1 and 7.Step:5 ：Therefore, the possible rational roots are (pm1, pm2, pmfrac{1}{7}, pmfrac{2}{7}).Step:6 ：(boxed{text{The possible rational zeros of the function } f(x)=7 x^{3}-3 x^{2}-x+2 text{ are } pm1, pm2, pmfrac{1}{7}, pmfrac{2}{7}})

Answer

Step: 1 ：Given the function (f(x)=7 x^{3}-3 x^{2}-x+2).Step: 2 ：We use the Rational Root Theorem which states that if a polynomial has a rational root, then it must be a factor of the constant term divided by a factor of the leading coefficient.Step: 3 ：In this case, the constant term is 2 and the leading coefficient is 7.Step: 4 ：The factors of 2 are 1 and 2, and the factors of 7 are 1 and 7.Step: 5 ：Therefore, the possible rational roots are (pm1, pm2, pmfrac{1}{7}, pmfrac{2}{7}).Step: 6 ：(boxed{text{The possible rational zeros of the function } f(x)=7 x^{3}-3 x^{2}-x+2 text{ are } pm1, pm2, pmfrac{1}{7}, pmfrac{2}{7}})

Use the rational zeros theorem to list all possible zeros of the function $f (x) = 7 x^{3} - 3 x^{2} - x + 2$ Enter the possible zeros separated by commas. You do not need to factor the polynomial.

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Popular Problems

Use the rational zeros theorem to list all possible zeros of the function f(x)=7x3−3x2−x+2 Enter the possible zeros separated by commas. You do not need to factor the polynomial.

Answer

Popular Problems

Use the rational zeros theorem to list all possible zeros of the function $f (x) = 7 x^{3} - 3 x^{2} - x + 2$ Enter the possible zeros separated by commas. You do not need to factor the polynomial.