Multiplicity and Possible Real Roots of Polynomials

The degree of the polynomial determines the number of roots.

• True

• False

How many possible negatives solutions does the following polynomial have? f(x) = x⁴ - 3x³ - 17x² + 39x -20

• 3 or 1

• 3

• 1

• 2 or 0

How many positive solutions does the following polynomial have? f(x) =3x⁵ - x⁴ + 3x² - 6x +11

• 4, 2, or 0

• 4

• 3 or 1

• 3

• 3 real positive, 2 real negative, 0 imaginary

• 0 real positive, 1 real negative, 4 imaginary

• 1 real positive, 2 real negative, 2 imaginary

• 1 real positive, 0 real negative, 4 imaginary

Write the polynomial with the least degree having the given roots.

• A

• B

• C

• D

If (7x + 4) is a factor of some polynomial function, then 4/7 is a zero of the function.

• True

• False

Write the polynomial with the given zeros

• A

• B

• C

• D

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

• 0

• 4

• -9

• -15

Find all the roots of y=x³+x²-x+2

• -2, (1±i√3)/2,

• 2, (1±√3)/2,

• 2, (1±i√3)/2,

• -2, (-1±i√3)/2,

Identify the number of roots:
x³+4x²-11x-30

• 1

• 2

• 3

• 4