Math Calculators, Lessons and Formulas

It is time to solve your math problem

  • Math Tests
  • ::
  • Polynomials
  • ::
  • Tests about Roots of Polynomials
Test Title:

Tests about Roots of Polynomials

There are 2 tests inside this topic. Click the button below to change currently active quiz.

Change current test

Current: Rational root test and Descartes' Rule of Signs
  • Q1:
    1 pts
    $x = 3$ is a possible rational root of polynomial $$p(x)=x^5+3x^4-8.$$
  • Q2:
    1 pts
    Which one of these is not possible real zero of $p(x) = 2x^3 + x^2 - 7x -1$:
    1
    $\frac{1}{2}$
    2
    $-\frac12$
  • Q3:
    2 pts
    All possible rational roots of the polynomial $p(x)=2x^5-x^2+3$ are
    $\pm 3 \pm1 \pm \frac32$
    $\pm3 \pm1 \pm \frac{2}{3}$
    $\pm\frac{1}{3}\pm1 \pm\frac{2}{3}$
    $\pm\frac{1}{3} \pm1 \pm\frac{3}{2}$
  • Q4:
    2 pts
    All possible rational roots of the polynomial $p(x)=4x^5-x^2+1$ are
    $\pm1 \pm2 \pm4$
    $\pm1 \pm4$
    $\pm1 \pm2 \pm\frac{1}{4}$
    $\pm1 \pm\frac{1}{2} \pm \frac{1}{4}$
  • Q5:
    2 pts
    Usig a rational root test we can find all roots of the polynomial.
  • Q6:
    2 pts
    $x= \sqrt{2}$ is a rational root of $p(x)=x^2-2$
  • Q7:
    2 pts
    how many sign changes has polynomial $p(x)=x^3+x^2+x-1$.

    0

    1

    2

    3

  • Q8:
    2 pts
    What is the sequence of pairs of successive signs for the polynomial $p(x)=x^3-x^2+x-3$
  • Q9:
    3 pts
    What is the maximum number of positive zeroes for the polynomial $$p(x) =-x^4-x^3+ x^2-1$$

    4

    3

    2

    1

  • Q10:
    3 pts
    What is the number of negative zeroes for the polynomial $p(x) =x^6-x^5+2x^3-4x^2-1$

    4

    3

    2

    1