Find Roots of Polynomials

• no, 3 is not a zero of f(x)

• yes

• no, 2 is not a zero of f(x)

• no, -3 is not a zero of f(x)

If a zero of a polynomial function has multiplicity 2 that means:

• The x intercept is at (2, 0)

• The graph will "bounce back" at that zero

• The graph will "pass through" at that zero

• Zeros cannot have multiplicity of 2

What is another word for zeros?

• solutions

• x -intercepts

• roots

• All of the these!

Given f(x) = 3x³-4x²-28x-16. Which number below is zero of f(x)?

• 8

• -2

• 6

• 1

If f(x) = 2x³-13x²+36, is x = 6 an x-intercept?

• No, because f(6) = 30

• Yes, because f(6) = 0

• Yes, because f(6) = 30

• No, because f(6) = 0

Find the zeros of the polynomial.
f(x) = (x-5)(2x+3)(7x-4)(x+6)

• x = 5, (2/3), 6, (7/4)

• x= -5, (3/2), (-4/7), 6

• x= 5, (-3/2), (4/7), -6

• x= 6, 5, -2/3, -4/7

Find all zeros.

• x= 3,1,1/3

• x= -3, -1, -1/3

• x = -3, 1, 1/3

• x = 3, -1, -1/3

Use the Rational Root Theorem to determine the list of possible rational roots.

• A

• B

• C

• D

Find all the zeros of the polynomial. 

• A

• B

• C

• D

Which of the following is NOT a possible rational root. 

• A

• B

• C

• D