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Factor the following expression completely: w^(2)+18w+80

User Dr McKay
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1 Answer

2 votes

Answer:

(w + 8)(w + 10)

Explanation:

given

w² + 18w + 80

consider the factors of the constant term (80) which sum to give the coefficient of the w- term (+ 18)

the factors are + 8 and + 10 , since

8 × 10 = + 80 and 8 + 10 = + 18

use these factors to split the w- term

w² + 8w + 10w + 80 ( factor the first/second and third/fourth terms )

= w(w + 8) + 10(w + 8) ← factor out (w + 8) from each term

= (w + 8)(w + 10) ← in factored form

User Ivnext
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