Finding Zeros in Polynomials

Find all zeros.

• x= 3,1,1/3

• x= -3, -1, -1/3

• x = -3, 1, 1/3

• x = 3, -1, -1/3

How many total roots/zeros are there in the polynomial.

• A

• B

• C

• D

Which of the following is NOT a possible rational zero for p(x). 

• A

• B

• C

• D

Find all the zeros 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

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)

Find zeros of 3x^3 - 27x

• x = -3 and 3

• x = -1, 0, 27

• x = -3, 0, 3

• x = -3, 1, 3

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)

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