5. -1 points AufCAT8 3.3.013. Use the Rational Zero Theorem to list possible rat

Question

5. -1 points AufCAT8 3.3.013. Use the Rational Zero Theorem to list possible rational zeros for the polynomial function. (Enter your answers as a comma-separated list.) Px)2x3+x*- 81x8 Need Help?tWatch Talk to a Tutor 6. -1 points AufCAT8 3.3.016 Use the Rational Zero Theorem to list possible rational zeros for the polynomial function. (Enter your answers as a comma-separated list.) p(x) = 5x" + 9x2-5x-9 Read It Watch It Talk to a Tutor 7. +-11 points AufCAT8 3.3.017.MI Use the Rational Zero Theorem to list possible rational zeros for the polynomial function. (Enter your answers as a comma-separated list.) p(x) = 4x4-14x3-2x2 + 14x-7 Read I Watch Master Talk to a Tutor 8. -16 points AufCAT8 3.3.045 Find the zeros of the polynomial function. State the multiplicity of each zero. (Enter your answers from smallest to largest.) P(x)-x3 3x61x- 63 Multiplicity Zero Need Help?Read ItWatch Talk to a Tutor

Explanation / Answer

6) P(x) = 2x^3 + x^2 - 81 x + 8

possible rational zeros occur at factors of constant term / factors of leading coefficinet

rational zeros = +- { 1 , 2 , 4 , 8 } / { 1 , 2 }

= { + 1/1 , -1/1 , + 1/2 , - 1/2 , + 2/ 1 ,- 2/1 , +2/2 - 2/2 , + 4/1 , - 4/1 , +4/2 , - 4/2 , + 8/1 , -8/1 , +8/2 , - 8/2 }

5) P(x) = 5x^3 + 9x^2 - 5x - 9

possible rational zeros are

+- { 1 , 3 , 9 } / { 1 , 5 }

= { 1 /1 , -1/1 , 1/5 , -1/5 , + 3/1 , - 3/1 , + 3/5 , - 3/5 , + 9/1 , - 9/1 , +9/5 , - 9/5 }

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