Algebra 1 Team Decathlon -- Event #9 Javelin

Front

What are the factors of the polynomial 3x^2 - 19x - 14?

Back

(3x + 2)(x - 7)

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What is the degree of the polynomial 3x^2 - 19x - 14?

Back

The degree is 2, which is the highest exponent of the variable x.

Front

What is the quadratic formula?

Back

Front

How do you find the roots of a quadratic function?

Back

You can find the roots by factoring, using the quadratic formula, or completing the square.

Front

What are the roots of the quadratic function represented by the graph?

Back

The roots are the x-intercepts of the graph where the function equals zero.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What does the term 'initial height' mean in projectile motion?

Back

Initial height refers to the height from which an object is launched or dropped.

Front

What is the significance of the coefficient -16 in the equation h(t) = 784 - 16t^2?

Back

The coefficient -16 represents the acceleration due to gravity in feet per second squared.

Front

How do you determine the time it takes for an object to reach the ground using a height equation?

Back

Set the height equation equal to zero and solve for t.