Math 3 wk 2

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial expression.

Front

What is the degree of the polynomial represented in the graph if it is a cubic function?

Back

3

Front

What are the solutions of the equation 36x² - 12x + 1 = 4?

Back

The solutions are x = -1/6 and x = 1/2.

Front

What is the end behavior of a polynomial function?

Back

The end behavior of a polynomial function describes how the function behaves as x approaches positive or negative infinity.

Front

Which polynomial function has an end behavior of up and down?

Back

The polynomial function -6x⁷ + 4x² - 3 has an end behavior of up and down.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation ax² + bx + c = 0.

Front

What are the solutions of the equation x² = 8x - 1?

Back

The solutions are x = 4 ± √17.

Front

How do you determine the number of real solutions of a quadratic equation?

Back

You can determine the number of real solutions by calculating the discriminant (b² - 4ac). If it's positive, there are two real solutions; if zero, one real solution; if negative, no real solutions.

Front

What is a polynomial function?

Back

A polynomial function is a function that can be expressed in the form f(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

Front

What does it mean for a polynomial to have a degree of 4?

Back

A polynomial with a degree of 4 has its highest power of the variable as 4, indicating it can have up to 4 real roots.