Polynomials and Multiplicity

• The function has an Even degree
• The function has a Negative coefficient
• The function has an Odd degree
• The function has 3 real zeros

Determine the y-intercept
f(x) = x³- 5x²- 25x + 125

• (0,0)

• (0,25)

• (0,125)

• (0,5)

Which polynomial has this type of end behavior?

The degree of the polynomial determines the max number of roots.

• True

• False

Factor
x² -16x + 48

• (x - 12)(x - 4)

• (x + 6)(x - 8)

• (x + 12)(x - 4)

• (x -16)(x - 3)

What is another way to say "where a function crosses the x-axis"?

• x-intercept

• zero

• root

• all of these.

When setting up this synthetic division to divide 2x⁴ + 3x² - x + 2 by (x - 1), what number goes into the red circle?

• -1

• 1

• 2

• cannot be determined

Polynomial function f(x) =  x⁴ - 4x³ + 5x² - 4x + 4 is known to have a zero of x = 2 with a multiplicity of 2. Does this mean (x - 2) divides the polynomial twice?

• yes

• no

(x - 2) divides polynomial function
 f(x) =  x⁴ - 4x³ + 5x² - 4x + 4 two times.  Which of these is a complete factorization of f(x)?

• (x - 2)²(x - 1)(x + 1)

• (x - 2)² (x + 1)

• (x - 2)²(x² + 1)

• cannot be determined

Factor this expression:
2x³ + 2x² - 24x

• 2x(x + 4)(x - 3)

• 2x(x - 4)(x - 3)

• 2x(x - 4)(x + 3)

• none of these