Functions of Zeros

What are ALL the synonyms for zeros of functions?

• y-intercepts

• x-intercepts

• roots

• solutions

• domain

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

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

Find a polynomial function of degree 3 with zeros 3i and -2.

• P(x) = x³+2x²+9x+11

• P(x) = x³-2x²+9x+18

• P(x) = x³+2x²+9x+18

• P(x) = x²-3ix+2x-6i

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

• 1

• 2

• 3

• 4

How many real zeros does the polynomial function
P(x) = x³+2x²+9x+18 have?

• 0

• 1

• 2

• 3

How many negative zeros does the polynomial function
P(x) = x³+3x²-5x-15 have?

• 0

• 1

• 2

• 3

What is the significance of zeros of a function in graphical representation?

• Zeros of a function indicate the y-intercepts of the graph.

• Zeros of a function have no significance in graphical representation.

• Zeros of a function indicate the x-intercepts of the graph.

• Zeros of a function represent the maximum points on the graph.

How do you determine the number of zeros of a function from its graphical representation?

• By counting the number of times the graph crosses the x-axis.

• By counting the number of times the graph crosses the y-axis.

• By calculating the area under the curve.

• By determining the slope of the function at different points.