Rewriting Polynomials Algebra Chapter

What is the Degree of this polynomial:
f(x)= x³(x + 3)²(x – 5)

• Degree: 6

• Degree: 5

• Degree: 3

• Degree: 2

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial. 

• A

• B

• C

• D

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial. 

• A

• B

• C

• D

Which of these is a possible root of the polynomials?
x³ - 6x² - x + 30

• 0

• 4

• -9

• -15

Simply:

• -1k⁴ +17k² +22

• -7k⁸ + 11k⁴-6

• -7k⁴ - 11k² +6

• 7k⁴ - 5k²

Classify the following polynomial

• cubic biniomial

• quadratic polynomial

• linear binomial

• quadratic trinomial

Find the zeros of the polynomial given one factor. Use synthetic division.

• X= 3,4,5

• x=-3,-4,-5

• x=-3,4,5

• x= 3, -4, -5

State how many of each type of possible solution the following polynomial has f(x) = -4x⁴ + x³ +11x² - 4x + 8

• Positive: 3 or 1

  Negative: 1

• Positive: 3

  Negative: 1

• Positive: 1

  Negative: 3 or 1

• Positive: 1

  Negative: 3

Which formula is the Fundamental Theorem of Algebra Formula?

• There are infinitely many rationals between two reals.

• Every polynomial equation having complex coefficents and degree greater than the number 1 has at least one complex root.

• There are infinitely many prime numbers.

• All numbers are rational numbers.

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial. 

• A

• B

• C

• D