Exploring Polynomial Functions: Video 2 Insights

What is the leading term of the polynomial function discussed in the first section?

• 7x^5

• x^2

• 2x^3

• -2x^4

As x approaches negative infinity for the fourth-degree polynomial, what happens to the y-coordinates?

• They remain constant

• They go to negative infinity

• They oscillate

• They go to positive infinity

What is the general shape of a positive 3x^5 polynomial?

• A stretched version of x^5

• A linear function

• A compressed version of x^2

• A downwards facing parabola

What happens to the appearance of a polynomial function as you zoom out?

• It becomes more complex

• It looks like a typical parent function

• It becomes a straight line

• It disappears

What is an x-intercept also known as?

• A maximum point

• A minimum point

• A y-intercept

• A zero

What is the x-intercept of the polynomial p(x) = x^2 + x - 6?

• 3 and -2

• 2 and -3

• 0 and 6

• 1 and -1

What is the factor of the polynomial if the zero is -3?

• x - 3

• x + 3

• x + 2

• x - 2

If a polynomial has a zero at x = 2, what is the corresponding factor?

• x + 3

• x + 2

• x - 3

• x - 2

What must happen for a polynomial to go from a negative y-coordinate to a positive y-coordinate?

• It must go through the y-axis

• It must remain constant

• It must go through the x-axis

• It must oscillate

What does it mean if a polynomial graph lies entirely above or below the x-axis between two successive zeros?

• The polynomial is quadratic

• The polynomial is linear

• There are multiple zeros in between

• There are no zeros in between