Finding X and Y Intercepts of Polynomial Functions

What do X and Y intercepts represent in a polynomial?

• Points where the graph crosses the X and Y axes

• Points where the graph reaches its maximum

• Points where the graph is undefined

• Points where the graph changes direction

How do you find the Y-intercept of a polynomial?

• Set both X and Y to zero

• Set Y to zero and solve for X

• Set X to zero and solve for Y

• Find the maximum value of the polynomial

What is the Y-intercept of the polynomial given in the video?

• 32

• 64

• 0

• 16

To find the X-intercepts, what should you set the output (Y) to?

• Any positive number

• X

• 0

• 1

What is the first step in simplifying the polynomial equation to find X-intercepts?

• Factor out a common factor

• Subtract all terms

• Multiply all terms

• Add all terms

What technique can be used if you can't factor something out of every term in a polynomial?

• Graphing

• Factor by grouping

• Rational zero theorem

• Synthetic division

What is the result of factoring the polynomial X^3 - X^2 - 16X + 16?

• (X + 1)(X^2 - 16)

• (X - 1)(X^2 + 16)

• (X + 1)(X^2 + 16)

• (X - 1)(X^2 - 16)

What are the X-intercepts of the polynomial discussed in the video?

• 1, -4, 4

• 0, 4, -4

• 1, 0, 4

• 1, -1, 4

How many X-intercepts does the polynomial have?

• 3

• 4

• 2

• 1

How many Y-intercepts does the polynomial have?

• 1

• 2

• 4

• 3