Finding the Zeros of Factored Polynomials

Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)

• f(x) = (x-4)(x-1)²(x+2)(x+4)

• f(x) = (x-4)(x+1)²(x+2)(x+4)

• f(x) = (x-4)(x-1)²(x-2)(x+4)

• f(x) = (x+4)(x+1)²(x-2)(x-4)

Tags

CCSS.HSA.APR.B.3

Which of the following could be the equation of the graph in factored form?

• y=-(x+1)(x-2)(x-4)

• y=(x+1)²(x-2)
  (x-4)³

• y = x(x+1)(x-2)
  (x-4)

• y=(x+1)³(x-3)
  (x-1)²

Tags

CCSS.HSA.APR.B.3

Solve the polynomial by finding all the zeros of the function: f\left(x\right)=x^4+x^3-7x^2-x+6

• x=1, x= -2, x=4

• x= 2i, x= -2i, x= 3, x= 6

• x= 1, x= -1, x= 2, x= -3

• x= 6, x= -6, x= 1, x=-3

What is the factored form of this polynomial?

• y=2(x-1)(x+2)(x-4)

• y=4x(x+1)(x-2)

• Y= .5(x+1)(x-2)(x+4)

Tags

CCSS.HSA.APR.B.3

Find the zeros of the polynomial.

• A

• B

• C

• D

One zero of 4x³-17x²-150x-189 is 9.
What is another zero?

• 4

• 7

• -3

• -6

One zero of 3x³-4x²-28x-16 is 4.
What is another zero?

• 8

• -2

• 6

• 1

What are the zeros of the given graph? Choose all that apply

• -3

• 1

• 3

• -1

Tags

CCSS.HSF-IF.C.7C

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

Tags

CCSS.HSF-IF.C.7C

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