Honors A2 Unit 6 Assessment - Graphing Polynomial Functions,

Front

What are the x-intercepts of the polynomial function y=-4x(x+3)²?

Back

x-intercepts are x=0 and x=-3.

Front

What does it mean if a polynomial function crosses the x-axis at a zero?

Back

It means that the zero has an odd multiplicity.

Front

What does it mean if a polynomial function touches the x-axis at a zero?

Back

It means that the zero has an even multiplicity.

Front

How many zeros does the polynomial function P(x) = 3x⁴ + 4x - 8 have?

Back

The polynomial has 4 zeros.

Front

What determines the end behavior of a polynomial function?

Back

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

Front

What are the roots of the polynomial function y = (x + 2)(x - 7)³?

Back

The roots are x=-2 and x=7 with multiplicity 3.

Front

If a polynomial has a degree of 4, what can be said about the number of zeros it can have?

Back

It can have up to 4 zeros.

Front

What is the leading coefficient of the polynomial function P(x) = -2x³ + 3x² - x + 5?

Back

The leading coefficient is -2.

Front

What is the significance of the degree of a polynomial function?

Back

The degree indicates the highest power of x and affects the shape and number of zeros of the graph.

Front

How can you find the x-intercepts of a polynomial function?

Back

Set the polynomial equal to zero and solve for x.