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Aryanna Fitzgerald
Mathematics
12 October, 03:25
Find all roots: x^3 + 7x^2 + 12x=0
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Keaton Conway
12 October, 03:36
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see explanation
Step-by-step explanation:
To find the roots factor the left side
x³ + 7x² + 12x = 0 ← factor out x from each term
x (x² + 7x + 12) = 0
x (x + 3) (x + 4) = 0
Equate each factor to zero and solve for x
x = 0
x + 3 = 0 ⇒ x = - 3
x + 4 = 0 ⇒ x = - 4
Roots are x = - 4, x = - 3, x = 0
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