Solving Quadratics by factoring

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to factor a quadratic equation?

Back

Factoring a quadratic equation means expressing it as a product of two binomial expressions.

Front

What is the zero product property?

Back

The zero product property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

Solve by factoring: x² - 9x + 20 = 0

Back

x = 4 and x = 5

Front

What is the first step in solving (x + 2)(x - 3) = 0?

Back

Set each binomial factor equal to zero.

Front

Solve for the values of x: (x - 3)(x + 6) = 0

Back

x = 3 and x = -6

Front

What are the roots of the equation x² + 15x + 44 = 0?

Back

x = -11 and x = -4

Front

How do you check your solutions after solving a quadratic equation by factoring?

Back

Substitute the solutions back into the original equation to verify that they satisfy it.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

Front

What is the significance of the coefficients a, b, and c in a quadratic equation?

Back

The coefficient 'a' determines the direction of the parabola, 'b' affects the position of the vertex, and 'c' is the y-intercept.