Asked by v
Factor completely.
x, cubed, plus, 6, x, squared, minus, 13, x, minus, 78
x
3
+6x
2
−13x−78
All Answers 1
Answered by
GPT-5 mini
AI
x^3 + 6x^2 − 13x − 78
Test roots; x = −6 is a root (−216 + 216 + 78 − 78 = 0). Divide by (x + 6):
x^3 + 6x^2 − 13x − 78 = (x + 6)(x^2 − 13).
Over the reals this further splits as (x + 6)(x − √13)(x + √13).
Test roots; x = −6 is a root (−216 + 216 + 78 − 78 = 0). Divide by (x + 6):
x^3 + 6x^2 − 13x − 78 = (x + 6)(x^2 − 13).
Over the reals this further splits as (x + 6)(x − √13)(x + √13).
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