Polynomials Functions

The degree of the polynomial determines the max number of roots.

• True

• False

List the possible rational zeros of f(x) = x³ - 4x² -4x + 16

• 1, 2, 4, 8, 16

• -2 and-4

Determine the roots of the polynomial. 
f(x) = -x(x+1)(x-3)

• -1, 3

• 0, -1, 3

• 1, -3

• 0, -3, 1

If -5 is one of the zeros of f(x)= x³ +2x² -13x +10. Then find the other 2 zeros of the function

• -2, -1

• 2, -1

• 2, 1

• none of the above

if -1 is one of the zeros of f(x)= x⁴ +4x³-3x² -14x -8 find the other ones

• -1, 2, 4

• -1, -2, -4

• -1, 2, -4

• -2, -4

Describe the end behavior of

f(x) = -5x⁴- 2x² + 8

• Left side: up

  Right side: up

• Left Side: up

  Right side: down

• Left side: down

  Right side: up

• Left side: down

  Right side: down

Select all statements that apply to this polynomial.

• This is an odd degree function.

• This is an even degree function.

• The leading coefficient is positive.

• The leading coefficient is negative.

Find the 2 remaining zeros of the polynomial given one factor f(x)= x³-12x²+47x-60; (x-4) (for the answer just write the remaining 2 zeros in this format x=__, x=___

According to the Rational Roots Theorem, what are the candidates for rational zeros of the polynomial? Determine which ones are actual zeros.

Given x^3-x^2-3x+3, write in factored form and find all real and complex zeros.