Roots and Zeroes of Polynomials

Which of the following are words that mean SOLUTIONS? Choose ALL of the possible answers.

• Zeroes

• Roots

• X-intercepts

• Y-intercepts

State the zeros of the polynomial (include multiplicity):
f(x) = (x²+9)(x -1)³(2x + 5)

• -9, 1, -5

• -9, 1 (multiplicity of 3), -5

• ± 3i , 1 (multiplicity of 3), -5∕2

• ± 3i, 1, -5

List the potential real zeros of:
f(x) = 5x³ - x² + 3

• ±1/5, ±3/5, ±1, ±3

• ±1/3, ±5/3, ±1, ±5

• ±1/5, ±3/5, ±1, ±3, ±5

• ±1/5, ±1/3, ±1, ±3, ±5

How many roots or zeros does the equation
f(x) = 5x⁴-8x³+4x²-6x+3 have?

• 3

• 4

• 5

• 0

Write the polynomial with the given zeros

• A

• B

• C

• D

Find all zeros. y = x⁴ - 3x³ + 4x² - 8

• 1, -2, (2±2i√3)/2

• -1, 2, (2±2i√3)/2

• 1, -2, (2±2i√5)/2

• -1, 2, (2±2i√5)/2

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

Given the roots, which roots are missing: -7i, 3√2, _____, ______

• -7i, 3√2,

• -7i, -3√2,

• 7i, 3√2,

• 7i, -3√2,

All imaginary roots comes in pairs.

• True

• False