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  1. P(x) = x3 + 11x2 + 5x − 18 2. Use the Rational Zero Theorem to list all possible rational zeros of the polynomial function. (Enter your answers as a comma-separated list.) P(x) = −x3 + 3x2 − 4x − 22 3. Use the Rational Zero Theorem to list all possible rational zeros of the polynomial function.

  2. Solution for Use the Rational Zero Theorem to find all real zeros. (Enter your answers as a comma-separated list.) x4 + 2x3 − 36x2 − 2x + 35 = 0 x =

  3. Use the Rational Zero Theorem, Descartes’s Rule of Signs, and possibly the graph of the polynomial function shown by a graphing utility as an aid in obtaining the first zero or the first root. Find all zeros of the polynomial function or solve the given polynomial equation, f(x) = x3 - 4x2 - 7x + 10.

  4. (a) Prove the zero theorem x + 1 = 1 with Boolean algebra. Give a reason for each step your proof. Hint: Expand the 1 on the left with the complement property and then use the idempotent property. (b) Show the dual proof of part (a).

  5. Q: Verify Gauss's theorem for the vector field = y²i+xz³j+(2-1)³ and it is the enclosure bounded by the… A: Divergence Theorem:The divergence theorem relates the flux of a vector field over a closed smooth…

  6. Use the Rational Zero Theorem to list all possible rational zeros for the given function f(x) = x 4 - 6x 3 + 14x 2 - 14x + 5. Expert Solution This question has been solved!

  7. Apply the Intermediate Zero Theorem (IZT) to show that the function f has zeros in between the numbers a and b. Make a table of values and identify the interval/s that there is/are zero/s in between.

  8. Solution for Use the Rational Zero Theorem to list all possible rational zeros for the given function. f(x) = 7x* – x² +2 1 O A. +7+5+ 1, ± 2, ± 7 2 O B.…

  9. The Rational Zero Theorem states that ifp/qis a rational zero of f (where p/q is reduced to lowest terms), then p is a factor of_____ and q is a factor of_____ . Consider the polynomial function with integer coefficientsf(x) = anxn + an-1xn-1 + g + a1x + a0, an ≠ 0.

  10. Use the Intermediate Value Theorem to show that the polynomial has a real zero between the given integers f(x) = x 3 + x 2 - 2x + 1; between -3 and -2 Expert Solution This question has been solved!