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> Polynomials : Factoring polynomials by grouping Quiz
Polynomials : Factoring polynomials by grouping Quiz
Quiz
*Theme/Title:
Factoring polynomials by grouping
* Description/Instructions
This quiz focuses on factoring polynomials by grouping when there are four terms. Starting with a polynomial with four terms, you group terms and remove common factors. This will produce a polynomial with two parts, each having a common factor, which can be factored out. Note that not all polynomials with four terms can be factored by grouping.
Example: Factor by grouping x^3 + x^2 + 2x + 2
We can group terms to give x^3 + x^2 and 2x + 2. Then we can separately factor x^3 + x^2 and 2x + 2.
x^3 + x^2 can be factored to give x^2(x + 1)
and 2x + 2 can be factored to give 2(x + 1)
Then since (x+1) is the common factor, it can be factored out.
Therefore,
x^3 + x^2 + 2x + 2
= x^2(x + 1) + 2(x + 1)
= (x + 1) (x^2 + 1)
Group:
Algebra
Algebra Quizzes
Topic:
Polynomials
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