CP PreCalc Intro to Polynomials

Front

What are the zeros of the polynomial y = (x + 4)(x + 1)(x - 3)?

Back

-4, -1, 3

Front

How do you determine the end behavior of a polynomial function?

Back

The end behavior is determined by the degree and the sign of the leading coefficient.

Front

What is the degree and leading coefficient of the polynomial 13x^6?

Back

Degree: 6, Leading Coefficient: 13 (Positive)

Front

What does it mean if a polynomial function has an even degree and a negative leading coefficient?

Back

The graph will rise on both ends and fall in the middle.

Front

How do you find the zeros of a polynomial function?

Back

Set the polynomial equal to zero and solve for x.

Front

What is the significance of the leading coefficient in a polynomial?

Back

It determines the direction of the graph as x approaches positive or negative infinity.

Front

What is the end behavior of a polynomial with an odd degree and a negative leading coefficient?

Back

The graph will fall to the left and rise to the right.

Front

How do you solve the equation 5x^2 - 12 = 17x?

Back

Rearrange to 5x^2 - 17x - 12 = 0 and use the quadratic formula.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / 2a

Front

What are the characteristics of a polynomial function?

Back

A polynomial function is continuous, smooth, and can have multiple zeros.