Zeroes of Polynomial Function

The degree of the polynomial determines the number of roots.

• True
• False

Tags

CCSS.HSN.CN.C.9

The largest exponent determines the degree of the polynomial.

• True
• False

How many zeros does the following function have?
f(x)= x⁵ - 3x³ + x

• 8
• 9
• 5
• 3

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

What are all the possible rational roots of x³ - 4x² + 5x - 12?

• +-1, +-2, +-3, +-4, +-6, +-12
• +-1, +-2, +-3, +-4, +-6
• +-2, +-3, +-4, +-6, +-12
• +-1, +-2, +-4, +-6, +-12

Tags

CCSS.HSA.APR.B.3

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

Tags

CCSS.HSA.APR.B.3

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

Determine the roots of the polynomial. 
f(x) = -x(x+1)(x-3)

• -1, 3
• 0, -1, 3
• 1, -3
• 0, -3, 1

Tags

CCSS.HSA.APR.B.3

Find all the real zeros of the function

y = 2x³ - 19x² + 38x + 24 given that (x-4) is a factor.

• x = 1/2, -6

• x = -1/2, 6

• x = 4, -1/2, 6

• x = -4, 1/2, -6

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

• 3, √5 
• 3, √5, -√5
• -3, √5, -√5
• -3, 5i, -5i

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Find all zeros of the polynomial function P(x) = x³+6x²+9x+54

• 6, 3, -3
• -6, 3, -3
• -6, 3i, -3i
• 6, 3i, -3i

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3