Chapter 8.6, Problem 57HP

To determine

To Explain: Factorization of a polynomial completely.

Explanation of Solution

Explaination:

The strategy is to explain how to factor a polynomial completely.

To factor a polynomial, follow the below mentioned steps:

Step 1: Check for the GCF first.

Step 2: Multiply the quadratic team and the constant term $ac$ .

  $a{x}^2+bx+c$

Step 3: Write down all the factors of the result, in pairs and check which pair will satisfy the relations,

  $m+n=b$ and $mn=ac$

Step 4: From the list, find the pair that adds to produce the coefficient of the linear terms. Use FOIL method.

Step 5: Factor out the common terms in that expression.