1. Equations & 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

Start by identifying the quadratic equation: $4x^2 + 16x + 12 = 0$.

Check if the quadratic can be simplified by factoring. Look for two numbers that multiply to $4 \times 12 = 48$ and add to $16$.

The numbers 12 and 4 satisfy these conditions, so rewrite the middle term: $4x^2 + 12x + 4x + 12 = 0$.

Group the terms: $(4x^2 + 12x) + (4x + 12) = 0$ and factor by grouping: $4x(x + 3) + 4(x + 3) = 0$.

Factor out the common factor $(x + 3)$: $(4x + 4)(x + 3) = 0$. Set each factor to zero and solve for $x$: $4x + 4 = 0$ and $x + 3 = 0$.

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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