Finding Rational Solutions to Polynomial Equations

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

Tags

CCSS.HSA.APR.B.2

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

Tags

CCSS.HSF-IF.C.7C

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

Below are four possible zeros for this polynomial.

Figure out which one "works"

f(x) = x³ + 2x² - 11x - 12

• -3

• -4

• 1

• 6

Tags

CCSS.HSF-IF.C.7C

Below are four possible zeros for this polynomial.

Figure out which one "works"

f(x) = x³ - 8x² - 23x + 30

• 3

• -1

• -10

• 1

Tags

CCSS.HSF-IF.C.7C

What are the zeros (x-intercepts)?

• x = 4, 7

• x = -1, 4/7

• x = -4/7, 1

• x = 7, -4

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What are the zeros of the polynomial?

h(x) = x⁴ + 3x³ - 55x² - 99x +630

• -5,6,-3,7

• 5 6, 3, -7

• -5, 6, 3, -7

• 6, 3, -7

What are the zeros of the polynomial g(x) = 2x⁴ -19x² + 46x² + 7x - 60

• -1,4,5,3/2

• -1,-4,5,-3/2

• 1,4,5,3/2

• -1,4,5,2/3

What are the zeros of the polynomial?

g(x) = 2x⁴ + 23x³ +19x² - 116x - 60

• 2,-3,-10,1/2

• 2, 3,-10,-1/2

• 2,-3,-10,-1/2

• -2,-3,10,-1/2