Question

Factor each polynomial completely. $$ 4 a^{2}-16 a+16 $$

   Factor each polynomial completely.
$$
4 a^{2}-16 a+16
$$

Algebra for College Students

Algebra for College Students

Mark Dugopolski 5th Edition

Chapter 5, Problem 88

Instant Answer

Solved by Expert Ankit Gupta

07/01/2020

Step 1

This gives us: $$ 4(a^{2}-4a+4) $$ Show more…

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Factor each polynomial completely. $$ 4 a^{2}-16 a+16 $$

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Key Concepts

Greatest Common Factor (GCF)

This concept involves identifying and factoring out the largest expression that divides each term of the polynomial. It simplifies the expression and is often the first step in identifying more complex factorization opportunities.

Perfect Square Trinomial

A perfect square trinomial is an expression that can be written as the square of a binomial. Recognizing this pattern simplifies factorization by rewriting the quadratic as the square of a simpler expression.

Quadratic Factorization

This involves rewriting a quadratic polynomial as a product of two binomials. Mastery of quadratic factorization techniques, including recognition of special patterns and the use of the quadratic formula or other methods, is essential for simplifying polynomial expressions.

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