1. Equations and Inequalities

Choosing a Method to Solve Quadratics

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Multiple Choice

Choose and apply the best method to solve the given quadratic equation.
$4x^2+16x+12=0$

$x=-3,x=-1$

$x=3,x=1$

$x=3,x=4$

$x=-12,x=1$

Verified step by step guidance

First, identify the quadratic equation given: $4x^2 + 16x + 12 = 0$.

To simplify the equation, divide all terms by 4, the greatest common factor, resulting in $x^2 + 4x + 3 = 0$.

Next, factor the quadratic equation. Look for two numbers that multiply to 3 (the constant term) and add to 4 (the coefficient of the linear term).

The numbers 1 and 3 satisfy these conditions, so the equation can be factored as $(x + 1)(x + 3) = 0$.

Apply the zero product property: set each factor equal to zero, $x + 1 = 0$ and $x + 3 = 0$, and solve for $x$ to find the solutions.

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Expert video explanations

Choose and apply the best method to solve the given quadratic equation. 4x2+16x+12=04x^2+16x+12=04x2+16x+12=0