algebra II- chapter 5

divide using synthetic division: -14X^3 -840 +14X by (x+4)

-14X^2 +56X -210

divide using synthetic division: -4X^3 +21X^2 -23x +6 by (x-4)

-4x^2 +5x -3 r -6

divide using long division: -6X^3 +18X^2 -7X -10 by (x-2)

-6X^2 +6X +5

A polynomial equation with rational coefficients has the roots 3+ sqrt(6), 2-sqrt(5). Find two other roots.

3- sqrt(6), 2+sqrt(5)

State the number of complex zeros the polynomial has. Then graph the function on the calculator and state how many zeros are real and how many are non-real complex. 5x^5 -20x^4 -40x^3 -16x^2 -45x +180 =0

5 zeros, 3 real, 2 non-real

Use the calculator to find two zeros, then use synthetic division and solving for x to find the remaining zeros. X^4 -24X^2 -25. Then write the factored version of the polynomial

5, -5, i, -i, (x-5) (x+5) (x-i) (x+i)

State how you know if a given binomial is a factor of a given polynomial.

use synthetic division and if there is a remainder, the binomial is not a factor. If there is no remainder, the binomial is a factor

find the real zeros of the given polynomial: -3x^3 +x^2 -x -6= 0

x= -1.08

Find the zeros of the given polynomial by factoring by grouping. X^3 -X^2 -13X +13

x= 1, +- sqrt(13)

find a second degree polynomial with rational coefficients that has roots 2+i

x^2 -4x +5