Find Zeros Algebra

Use the Rational Root Theorem to list the possible rational zeros.

• A

• B

• C

• D

Use the factored form of the function to find the zeros.  (hint: set each factor = 0)

• A

• B

• C

• D

Find the zeros of polynomial given one zero.

• A

• B

• C

• D

Find the zeros of the polynomial given one zero

• 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

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

• True

• False

Find the zeros for the following polynomial. Do NOT use a calculator.

• x = -4, x = 2

• x = 4, x = 2

• x = -2, x = 4

• x = -4, x = -2

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

STRATEGY: Graph the question and find the zeros/x-intercepts

HINT: How many zeros are there?

• A

• B

• C

• D

• -3

• 3

• 15

• -15

• 2

• -2

• 0

• -45

• 45