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2 years ago

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

Mathematics

2 answers:

mezya [45]2 years ago

4 0

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

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

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

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

Trava [24]2 years ago

3 0

Answer:

(x + 6)(x + 13)

Step-by-step 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

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