Polynomial Irrational Zeros

Which one could be a representation of the equaiton of this graph?

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2

• y = -x⁴ + x³ + 5x + 2

• y = x³ - 2x² + 1x + 3

• y = -x³ - 2x² + 1x + 3

Name the Theorem
If P(x) is a polynomial with rational coefficients, then the irrational roots of P(x) = 0 occur in conjugate pairs.

• Binomial Theorem

• Factor Theorem

• Conjugate Root Theorem

• Rational Root Theorem

Which of the following would be the correct factored form with roots 2, 5i, and 6?

• (x-6)(x-2)(x+5i)(x-5i)

• (x+6)(x+2)(x+5i)

• (x-6)(x-2)(x-5i)

• (x+6)(x+2)(x-5i)

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

Mathematical Equivalence

ON

Using the following roots, write in factored form.

-6, √6, 3

• (x+6)(x+√6)(x-3)

• (x-6)(x-√6)(x+3)

• (x+6)(x-√6)(x+3)

• (x+6)(x-√6)(x-3)

Write a polynomial function of least degree with the given zeros.

• A

• B

• C

• D

Write a polynomial function of least degree with the given zeros.

• A

• B

• C

• D

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

• 3, √5 

• 3, √5, -√5

• -3, √5, -√5

• -3, 5i, -5i

• A
• B
• C
• D