Solving Polynomial 4.5/4.6 Practice

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

• x-intercept
• zero
• root
• all of these.

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

• 1
• 2
• 3
• 4

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

• 3, √5 
• 3, √5, -√5
• -3, √5, -√5
• -3, 5i, -5i

Find all zeros of the polynomial function P(x) = x³+6x²+9x+54

• 6, 3, -3
• -6, 3, -3
• -6, 3i, -3i
• 6, 3i, -3i

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = x³ + 2x² - 6x + 8

• ±1, ±8
• ±1, ±2, ±4, ±8
• ±1, ±2, ±4
• 1, 2, 4, 8

Below are four possible zeros for this polynomial.

Figure out which one "works"

f(x) = x³ + 2x² - 11x - 12

• -3

• -4

• 1

• 6

The degree of the polynomial determines the number of roots.

• True
• False

Which of these is a possible rational root of the polynomials?

x³ - 6x² - x + 30

• 0

• 4

• -9

• -15

The Fundamental Theorem of Algebra tell us two things. Which of the options does not come from the Fundamental Theorem of Algebra?

• A nth degree polynomial has at least 1 complex solution
• An nth degree polynomial always has 2 x-intercepts
• A nth degree polynomial has n solutions.

Find the zeros of the polynomial given one factor. Use synthetic division.

• X= 3,4,5

• x=-3,-4,-5

• x=-3,4,5

• x= 3, -4, -5