7
QuizMultiple Choice

Solving Quadratic Equations: Completing the Square (Continued)

Question 7 • Algebra III A

Lie is solving the quadratic equation by completing the square.3x2 + 18x – 8 = 0 3x2 + 18x = 8

Answer
A
Write the polynomial as a binomial squared.
B
Factor 3 out of the variable terms.
C
Isolate the variable x.
D
Add 8 to both sides of the equation.

Explanation

The equation is already arranged with the constant on the right: 3x² + 18x = 8. To prepare to complete the square, factor 3 out of the terms containing x, giving 3(x² + 6x) = 8. So the next step is to factor 3 out of the variable terms.

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