A.EI.3a&b: Solving quadratic equations by Factorization Method.

Front

What is a quadratic equation?

Back

Front

What does it mean for a quadratic equation to have one real zero?

Back

A quadratic equation has one real zero when its graph touches the x-axis at exactly one point, indicating that the discriminant (b² - 4ac) is equal to zero.

Front

What is the factorization method for solving quadratic equations?

Back

Front

What is the discriminant of a quadratic equation?

Back

Front

How do you find the width of a rectangle if the area and a relationship between length and width are given?

Back

Set up the equation based on the area (length × width) and the relationship, then solve the resulting quadratic equation for the width.

Front

Back

Front

What is the vertex of a parabola represented by a quadratic equation?

Back

Front

What does it mean if a quadratic equation has no real solutions?

Back

It means the graph of the equation does not intersect the x-axis, which occurs when the discriminant is negative.

Front

How can you check if your factorization of a quadratic equation is correct?

Back

You can check by expanding the factors back into the standard form and ensuring it matches the original equation.

Front

What is the significance of the leading coefficient in a quadratic equation?

Back

The leading coefficient (a) determines the direction of the parabola: if positive, it opens upwards; if negative, it opens downwards.