Textbook Question
Solve each quadratic equation using the zero-factor property. See Example 5.
x² + 2x - 8 = 0
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0. Review of College Algebra
Solving Quadratic Equations
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Write the given quadratic equation in standard form. Identify a, b, and c.
A
a = - 4, b = 0, c = - 8
B
a = - 4, b = 1, c = 8
C
a = - 4, b = 1, c = - 8
D
a = 2, b = 1, c = 0
Verified step by step guidance1
Start by writing the given equation: \(-4x^2 + x = 8\).
To write the equation in standard form, move all terms to one side of the equation. Subtract 8 from both sides to get: \(-4x^2 + x - 8 = 0\).
The standard form of a quadratic equation is \(ax^2 + bx + c = 0\).
Identify the coefficients from the equation \(-4x^2 + x - 8 = 0\): \(a = -4\), \(b = 1\), and \(c = -8\).
Verify that the equation is in the correct standard form and that the identified values of \(a\), \(b\), and \(c\) match the standard form.
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