Polynomials and Theorems About Polynomials

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

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

Expand

• A

• B

• C

• D

How many positive solutions does the following polynomial have?

• 4, 2, or 0

• 4

• 3 or 1

• 3

A polynomial with exactlty one term is called a ​ (a)   .

• monomial

• coefficient

• binomial

• trinomial

• degree of a polynomial

• distributive

• polynomial

• degree of a term

Polynomial

• an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication.

• An infinite series with increasing powers (exponents) of a variable.

Using Descartes' Rule of Signs, how many possible NEGATIVE roots are there for the polynomial f(x) = x⁴+x³+x²+x+5. Select all that apply.

• 0

• 1

• 2

• 3

• 4

Write a polynomial function of least degree with integral coefficients that has the given zeros.

• x⁴+2x³-16x²-82x-69

• x⁴+7x³-16x²-82x-65

• x⁴+2x³-16x²-82x-65

• x⁴+2x³-16x²-82x-68

Which function has this end behavior?

• -x²-3x+1

• -x³+2x²+3

• x⁴+3x³-4x+1

• x⁵-4x⁴+2x²-1

The degree of the polynomial determines the number of roots.

• True

• False