Polynomials of Least Degree with Given Zeros

Write a polynomial function of least degree with integral coefficients that has the given zeros.

• x³-5x²+4x-20

• x³-5x²+4x-23

• x³-5x²+4x-19

• x³-10x²+4x-20

Write a polynomial function of least degree with integral coefficients that has the given zeros.

• A

• B

• C

• D

Write a polynomial function of least degree with integral coefficients that has the given zeros.

• A

• B

• C

• D

Write a polynomial function of least degree with integral coefficients that has the given zeros.

• A

• B

• C

• D

A function is shown below. H\left(x\right)=4x^3-5x^2-23x+6 What is the distance, to the nearest hundredth of a unit, between the two zeros that are closest to each other?

Mathematical Equivalence

ON

If a polynomial has 2 factors, it will have 2 zeros (or 1 zero with a multiplicity of 2).

• True

• False

Mathematical Equivalence

ON

Write the polynomial with the given zeros

• A

• B

• C

• D

Write a polynomial function of least degree with integral coefficients that has the given zeros.

• x⁴+2x³-16x²-82x-69

• x⁴+7x³-16x²-82x-65

• x⁴+2x³-16x²-82x-65

• x⁴+2x³-16x²-82x-68

Write the polynomial in standard form given the following zeros. x = -2, 1, 4

• f(x) = (x+2)(x-1)(x-4)

• f(x) =x³ - 3x² - 6x + 8

• f(x) = x³ + 8

• f(x) = x³ - 3x² + 8