DITOMASSO FINAL EXAM REVIEW #1 - AA SUPP 2024

Front

What is the Greatest Common Factor (GCF) of the polynomial 12t^3 + 30t^2 + 48t?

Back

The GCF is 6t.

Front

Find the zeros of the quadratic equation x^2 - 8x - 48 = 0.

Back

The zeros are x = -4 and x = 12.

Front

Solve the equation by factoring: x^2 - 3x = 0.

Back

The solutions are x = 0 and x = 3.

Front

Simplify the expression (4x^3 - 5x^2 + 3x) + (-2x^3 - x^2 + 6x).

Back

The simplified expression is 2x^3 - 6x^2 + 9x.

Front

What is the discriminant of the quadratic equation 3x^2 - 3x - 4 = 0?

Back

The discriminant is 93.

Front

Define the term 'polynomial'.

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

Explain how to find the GCF of two or more terms.

Back

To find the GCF, identify the highest common factor of the coefficients and the lowest power of each variable present in all terms.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a).

Front

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

Back

A quadratic equation has real solutions if its discriminant (b^2 - 4ac) is greater than or equal to zero.