Solving Polynomials Finding All Zeros

Solve the following equation 0 = x³ -3x²-5x+15

• 3, √5

• 3, √5, -√5

• -3, √5, -√5

• -3, 5i, -5i

What are the solutions for the polynomial equation 0 = 3 (x + 4) (x + 1) (x - 3)?

• -4, -1, 3

• 3, -3, 4, 1

• 4, 1, -3

• 3, -4, -1, 3

What is the relationship between the degree of a polynomial and the number of roots?

• The degree of a polynomial is inversely proportional to the number of roots

• The degree of a polynomial determines the maximum number of roots the polynomial can have.

• The degree of a polynomial determines the minimum number of roots the polynomial can have

• The degree of a polynomial has no impact on the number of roots

Discuss the role of synthetic division in solving higher order polynomials.

• Synthetic division is only applicable to quadratic polynomials

• Synthetic division simplifies the process of dividing higher order polynomials by linear factors.

• Synthetic division is a method for finding the derivative of a polynomial function

• Synthetic division is used to multiply higher order polynomials

Factor the polynomial and find all zeros.

• A

• B

• C

• D

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

• 3, √5 

• 3, √5, -√5

• -3, √5, -√5

• -3, 5i, -5i

Factor the polynomial and find all zeros.

• A

• B

• C

• D

Factor the polynomial and find all zeros.

• A

• B

• C

• D

Factor the polynomial and find all zeros.

• A

• B

• C

• D

Factor the polynomial and find all zeros.

• A

• B

• C

• D