Question

Fully factorise w² +8w+12

Answer 1

To fully factorise the quadratic expression w² + 8w + 12, you need to find two binomials whose product equals the given expression. Here's how you can factor it:

w² + 8w + 12 = (w + 2)(w + 6)

So, the fully factorized expression is (w + 2)(w + 6).

Answer 2

(w + 2)(w + 6)

Explanation:

given

w² + 8w + 12

consider the factors of the constant term (+ 12) which sum to give the coefficient of the w- term (+ 8)

the factors are + 2 and + 6 , since

+ 2 × + 6 = + 12 and + 2 + 6 = + 8

use these factors to split the w- term

w² + 2w + 6w + 12 ( factor the first/second and third/fourth terms )

= w(w + 2) + 6(w + 2) ← factor out (w + 2) from each term

= (w + 2)(w + 6) ← in factored form