Solve Quadratics by Factoring Practice

Front

Find the solutions of the quadratic equation: x² + 12x + 35 = 0 (hint: find the zeros).

Back

x = -5 or x = -7

Front

Solve by factoring: x² + 3x - 18 = 0

Back

x = 3 and x = -6

Front

Solve the quadratic equation: x² - 14x - 51 = 0

Back

x = 17, -3

Front

What do the 'Zeros' represent on a quadratic equation graph?

Back

x-intercepts

Front

What is the standard form of a quadratic equation?

Back

Ax² + Bx + C = 0

Front

What is the process of factoring a quadratic equation?

Back

Breaking down the equation into two binomials that multiply to give the original equation.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / 2a

Front

What does the discriminant (b² - 4ac) tell us about the roots of a quadratic equation?

Back

It indicates the nature of the roots: if > 0, two real roots; = 0, one real root; < 0, no real roots.

Front

How do you find the vertex of a quadratic function in standard form?

Back

The vertex can be found using the formula (-b/2a, f(-b/2a)).

Front

What is the axis of symmetry in a quadratic function?

Back

The line x = -b/2a, which divides the parabola into two mirror-image halves.