Corrected online exercises on factoring

Here is the list of mathematical exercises on factoring available online for free. Each corrected exercise is accompanied by indications, reminders of the course, methodological advice which allows you to practise independently.

6 exercises

Exercise example N°1240 :

Factor the following expression `12+4*x`.

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This exercise allows to practice factoring an algebraic expression by using different techniques of algebraic calculation.

Exercise example N°1430 :

Factor the following expression `x^2-20*x`.

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The purpose of this corrected algebraic calculus exercise is to factor an algebraic expression that involves squares.

Exercise example N°1431 :

Factor the following expression `9*x^2-49`.

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The purpose of this exercise is to factor an algebraic expression using a remarkable identity of the form a² - b².

Exercise example N°1438 :

    Consider the expression `E=(8*x+4)^2-(8*x+4)*(7*x-5)`.
  1. Expand and reduce E.
  2. Factor E.
  3. Solve the equation `(9+x)*(4+8*x)=0`.

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The purpose of this exercise is to practice factoring, expanding, simplifying algebraic expression and solving equation.

Exercise example N°1439 :

    Consider the expression `E=(2*x+10)^2-(2*x+10)*(5*x-4)`.
  1. Expand and reduce E.
  2. Factor E.
  3. Solve the equation `(14-3*x)*(10+2*x)=0`.

mathematics exams and competitions expansion of algebraic expressions solving equations and inequations of the first degree factoring equations 9th Grade 10th Grade expand_and_simplify

The purpose of this exercise is to practice factoring, expanding, simplifying algebraic expression and solving equation.

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)

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