Find the Zeros of Polynomial Function

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

• 6, 3, -3

• -6, 3, -3

• -6, 3i, -3i

• 6, 3i, -3i

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

• 1

• 2

• 3

• 4

A polynomial function is shown below in factored form. f\left(x\right)=5\left(2x+3\right)\left(x+4\right)\left(x-2\right) Which of these statements are true? The function has exactly ​ zeros. The graph of the function has an x-intercept at ​ .

• 3

• (2, 0)

• 4

• 5

• 2

• (4, 0)

• (0, 0)

A polynomial function is shown below in factored form. f\left(x\right)=5\left(2x+3\right)\left(x+4\right)\left(x-2\right) Which of these statements are true? The function has exactly ​ (a)   zeros. The graph of the function has an x-intercept at ​ ​ (b)   .

• 3

• (2, 0)

• 4

• 5

• 2

• (4, 0)

• (0, 0)

Mathematical Equivalence

ON

A polynomial function is shown below in factored form. Which of these statements are true? The function has exactly ​ (a)   zeros. The graph of the function has an x-intercept at ​ ​ (b)   .

• 3

• (2, 0)

• 4

• 5

• 2

• (4, 0)

• (0, 0)

A function is shown below. H\left(x\right)=4x^3-5x^2-23x+6 What is the distance, to the nearest hundredth of a unit, between the two zeros that are closest to each other?

Mathematical Equivalence

ON

A polynomial function is shown below in factored form. Which of these statements are true? The function has exactly ​ (a)   zeros. The graph of the function has an x-intercept at ​ ​ (b)   .

• 3

• (2, 0)

• 4

• 5

• 2

• (4, 0)

• (0, 0)