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Home » We need to factor the quadratic expression \(3x^2 + 21x + 18\). - AMAZONAWS

We need to factor the quadratic expression \(3x^2 + 21x + 18\). - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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For the equation \(3x^2 - 12x + 9 = 0\), the coefficients are \(a = 3\...
b^2 - 4ac = (-12)^2 - 4 \cdot 3 \cdot 9 = 144 - 108 = 36
Since the discriminant is positive, there are two real roots. Now, app...
x = \frac{-(-12) \pm \sqrt{36}}{2 \cdot 3} = \frac{12 \pm 6}{6}
Calculate the two roots:
x_1 = \frac{12 + 6}{6} = \frac{18}{6} = 3
x_2 = \frac{12 - 6}{6} = \frac{6}{6} = 1
Thus, the roots of the equation are \(\boxed{1 \text{ and } 3}\).
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