Rational Root Theorem Zeros to Functions Descartes Rule of Signs

According to Descartes' Rule of Signs, how can you determine the number of possible positive real roots of a polynomial?

• By counting the number of sign changes in the polynomial’s coefficients

• By solving the polynomial for x=0

• By factoring the polynomial into linear factors

• By analyzing the degree of the polynomial

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = x³ + 2x² - 6x + 8

• ±1, ±8

• ±1, ±2, ±4, ±8

• ±1, ±2, ±4

• 1, 2, 4, 8

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 3x³ + 2x² - 6x + 7

• ±1, ±7, ±1/3, ±7/3

• ±1, 7

• ±1, ±3, ±7, ±7/3

• ±1, ±3, ±7, ±1/3, ±7/3

Solve by using Rational Root Theorem: 
x³ - 7x - 6 = 0

• 1, 2, 3

• -1, -2, - 3

• -1, -2, 3

• 1,-2,-3

List all the possible rational zeros
h(x) = x³ - 5x²+2x+12

• 1,2,3,4,6,12

• 1,2,6,12

• 1,2,3,4,6,12,-1,-2,-3,-4,-6,-12

List all possible rational zeros
f(x) = 3x⁵-5x²+x+6

• 1, 2, 3, 6, -1, -2, -3, -6

• 1/3,2/3,1,2,3,6,-1/3,-2/3,-1,-2,-3,-6

• 1/3,2/3,1,2,3,6

List all possible rational zeros

f(x) = 3x⁵-5x²+x+6

• ±1, ±2, ±3, ±6

• ±1/3, ±2/3, ±1, ±2, ±3, ±6

• ±1/3, ±2/3, ±1, ±2, ±3, ±6

List all of the possible rational zeros
p(x) = 3x²+x+7

• -1/3, -7/3, -1, -7, 1/3,7/3,1,7

• 1/3,7/3,1,7

• 1, 7, 14, 21

Which of the following is a COMPLETE list of all possible Rational Zeros? f(x) = x³ + 2x² - 6x + 8

• ±1, ±8

• ±1, ±2, ±4, ±8

• ±1, ±2, ±4

• 1, 2, 4, 8

Find all of the rational zeros of each function. 
q(x) = x³+3x²-6x-8

• 1, 2, 4, 8, -1, -2, -4, -8

• -4, -1, 2

• 1, 2, 4