Review Zeros of the Polynomials

How many roots or zeros does the equation
f(x) = 5x⁴-8x³+4x²-6x+3 have?

• 3

• 4

• 5

• 0

Find all zeros for the polynomial function P(x)= x³-3x²+12x-10

• 1, 1-3i, 1+3i

• 1, 1+3i, -1-3i

• -1, -1+3i, -1-3i

• -1, -5, 2

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial. 

• A

• B

• C

• D

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial. 

• A

• B

• C

• D

Find all zeros of g(x) = x^4 - 5x^2 + 4.

• x = -4, -2 , 1, 2

• x = -2, -1 , 1, 2

• x = -1, 0 , 1, 4

• x = -1, 1 , 2, 4

Find zeros of 3x^3 - 27x

• x = -3 and 3

• x = -1, 0, 27

• x = -3, 0, 3

• x = -3, 1, 3

If a polynomial has 2 factors, it will have 2 zeros (or 1 zero with a multiplicity of 2).

• True

• False

Find all zeros of f(x) = 2x^3 + x^2 - 2x - 1.

• x = -1/2, -1 , 1

• x = -3, -1 , 1

• x = -1, 1/2 , 1

• x = -1, 1 , 2

What do "zeros" represent?

• something a polynomial can not be.

• the place that the polynomial crosses the x axis/ the x value that makes the whole equation equal to zero

• the place that the polynomial crosses the y axis/ the y value where x=0

• the number zero

Which zero will "bounce" off of/touch the x-axis for x(x - 1)²(x + 2)(x + 3)

• -1

• 1

• -2

• -3