Algebra 2 H Rational Zero Theorem and Remainder Theorem and Fundamental Theorem of Algebra

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 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

According to the Rational Root Theorem, what are the all possible rational roots? 
2x³ - 11x² + 12x + 9 = 0

• ±1,±2
• ±1,±3,±9
• ±1,±3±9,±1/2,±3/2,±9/2
• ±1,±2,±1/3,±2/3,±1/9,±2/9

The largest exponent determines the degree of the polynomial.

• True
• False

The degree of the polynomial determines the number of roots.

• True
• False

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

If you are missing an exponent in your polynomial you must put a zero as a coefficient place holder for that exponent

• True
• False

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial. 

• A
• B
• C
• D

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial. 

• A
• B
• C
• D