Question

Factorize: Challenge problem:
x^2+19x+78
help :)

Answer 1

`\bold{ x^2+19x+78 }`

`\bold{ x^2+13x+6x+78 }`

`\bold{ x(x+13)+6(x+13) }`

`\bold{(x+6)(x+13) }`

Answer 2

(x + 6)(x + 13)

Explanation:

Given

x² + 19x + 78

Consider the factors of the constant term (+ 78) whuch sum to give the coefficient of the x- term (+ 19)

The factors are + 6 and + 13 , since

6 ×13 = + 78 and 6 + 13 = + 19 , then

x² + 19x + 78 = (x + 6)(x + 13) ← in factored form