Exercises on polynomial functions

Here is the list of mathematics exercises on polynomial functions. Each corrected exercise is accompanied by indications, reminders of course, methodological advice which allows to practice independently.

4 exercises

Exercise example N°1631 :

  1. Expand and reduce the following polynomial:`(-6+x^2)*(-5-4*x)`.
  2. What is its degree ?

polynomial functions algebraic calculus 11th Grade degree

The purpose of this exercise is to practice developing a polynomial and determining its degree.

Exercise example N°1632 :

  1. Expand and reduce the following polynomial:`(7+x)^2-1-2*x+x^2+x^3`.
  2. What is its degree ?

polynomial functions algebraic calculus 11th Grade degree

The goal of this exercise is to practice developing a polynomial with remarkable identities and determining its degree.

Exercise example N°1633 :

    P is the polynomial defined by P(x) =`-4+8*x+3*x^2-x^3`
  1. Compute P(-2)
  2. Find the polynomial Q such that for any real x, P(x)=(x+2)Q(x)

polynomial functions factoring algebraic calculus 11th Grade factor

The goal of this exercise of algebraic calculation is to factor a polynomial of degree 3 knowing one of its roots.

Exercise example N°1634 :

Compute the roots of P(x) =`-4+8*x+3*x^2-x^3`.

polynomial functions algebraic calculus 11th Grade 12th Grade equation_solver

The goal of this exercise of algebraic calculation is to determine the values for which a polynomial of degree 3 is equal to 0.

The polynomial functions topic is available for : 11th Grade