Algebra 2 Unit 4B Review OL

Front

What is the X-method for factoring quadratics?

Back

The X-method involves creating an 'X' to find two numbers that multiply to the product of the leading coefficient and the constant term, and add to the middle coefficient.

Front

How do you factor the quadratic expression 45x^2 - 80?

Back

Factor out the greatest common factor (GCF) first: 5(9x^2 - 16). Then recognize that 9x^2 - 16 is a difference of squares: 5(3x - 4)(3x + 4).

Front

What is the quadratic formula?

Back

Front

How do you solve a quadratic equation using the quadratic formula?

Back

Identify coefficients a, b, and c from the equation, substitute them into the quadratic formula, and simplify to find the values of x.

Front

What does it mean for a quadratic equation to have two solutions?

Back

It means that the graph of the quadratic function intersects the x-axis at two distinct points.

Front

What is the significance of the discriminant in the quadratic formula?

Back

Front

How do you solve the equation 8n^2 + 4n - 16 = -n^2 using the quadratic formula?

Back

Front

What is the process for solving a quadratic equation by factoring?

Back

Rearrange the equation to set it to zero, factor the quadratic expression, set each factor to zero, and solve for the variable.

Front

How do you factor the expression 4x^2 + 2x - 12?

Back

First, factor out the GCF: 2(2x^2 + x - 6). Then factor the quadratic: 2(2x - 3)(x + 2).

Front

What is a quadratic equation?

Back