Roots of Cubic or Quartic Polynomials

What are the roots of the polynomial function?
y = (x + 2)(x - 7)³

• -2, 7 multiplicity 3

• -2, 7, 3

• 2, -7 multiplicity 3

• 2, -7, 3

Tags

CCSS.HSF-IF.C.7C

What are the
zeros of the polynomial
y = 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

Using the graph, what can we assume about the equation?

• Degree - Even

  Leading Coefficient - Positive

• Degree - Odd

  Leading Coefficient - Positive

• Degree - Even

  Leading Coefficient - Negative

• Degree - Odd

  Leading Coefficient - Negative

What is the degree of this polynomial function?  Is the leading coefficient positive or negative?
(Note: quartic means 4th degree, cubic means 3rd degree polynomials)

• quartic polynomial with a negative leading coefficient.

• quartic polynomial with a positive leading coefficient.

• cubic polynomial with a negative leading coefficient.

• cubic polynomial with a positive leading coefficient.

Given the following polynomial f\left(x\right)=\ 4x^5-28x^4+49x^3 x = 0 has a multiplicity of __?__

(a)  

Tags

CCSS.HSF-IF.C.7C

Which statement is true?

• This is a 4th degree polynomial with 4 real roots and 2 imaginary roots

• This is a 4th degree polynomial with 4 real roots and no imaginary roots

• This is a 4th degree polynomial with 4 imaginary roots

Find the x - intercept of:

• -4, 0, and 3

• 4, 0, and 3

• -4, 0, and -3

• 4, 0, and -3

Tags

CCSS.HSF-IF.C.7C

What are the roots or zeros of the polynomial equation above?

• 5,1,2

• -5,-1,-2

• 5,1,-2

• 5,-1,-2

Tags

CCSS.HSF-IF.C.7C

What is the factored form of the polynomial equation?

• (x - 2)(x + 2)(x + 2)

• (x - 2)(x - 2)(x + 2)

• (x + 2)(x + 2)(x + 2)

• (x - 2)(x - 2)(x - 2)

Tags

CCSS.HSA.APR.C.4

Write an equation in factored form for a polynomial function with real coefficients, x-intercepts –2, 2, and 6, and y-intercept –96.

• y = (x+2)(x-2)(x-6)-96

• y=-4(x+2)(x-2)(x-6)

• y=-96(x+2)((x-2)(x-6)

• y=4(x+2)(x-2)(x-6)

Tags

CCSS.HSA.APR.B.3