Roots, Zeros and Intercepts of Polynomials

What are the zeros (x-intercepts)?

• x = 2,-2
• x = 2,-2,0
• x = 2,0
• x = -4,-2,2,0

Find the zeros of the polynomial.
f(x) = x³ - 3x² - 10x

• x = 1, 10, 3
• x = 0, -5, 2
• x = 0, 5, -2
• x = 0, 3, -10

f(x)=(x+4)(x-3)(x-2)
List the zeros for this function.

• x=-4, x=3, x=-2
• x=-4, x=3, x=2
• x=-4, x=-3, x=2
• x=4, x=3, x=2

Identify the zeros

• x=2, x=6, x=-4
• (x+2)(x+6)(x-4)
• (x-2)(x-6)(x+4)
• x=-2, x=-6, x=4

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

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

Find all zeros for the polynomial function
Factor by grouping and then set = 0 to find zeros.
P(x) = x³ -3x²-5x+15

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

What is the degree of the polynomial function (remember to put in standard form- highest to lowest degree)
P(x)=3x⁴-7x²-2x⁷-x+4

• 4
• 7
• 2
• 11

• p(x) = (x − 1)(x + 2)(x + 5)
• p(x) = (x + 1)(x − 2)(x − 5)
• p(x) = (x − 1)²(x + 2)(x + 5)
• p(x) = (x + 1)²(x − 2)(x − 5)

• 2
• 1
• 4
• None

• None
• 1
• 2
• 4