+292 1.)
Factor the polynominal function over the complex numbers
f(x)=x^4-x^3-2x-4
2.)
Enter the number of complex zeros for the polynomial function in the box.
f(x)=x^5+4x^3-5x
3.)
What are the zeros od the polynomial function?
f(x)=x^4+2x^3-16x^2-2x+15
Select each correct answer.
-5
-1
0
1
3
5
Thank you (:
+6252 x4−x3−2x−4=(x4−4)−(x3+2x)=(x2−2)(x2+2)−x(x2+2)=(x2+2)(x2−x−2)=(x+√2i)(x−√2i)(x−2)(x+1)
2) A fifth degree polynomial will have 5 complex zeros
3) x4+2x3−16x2−2x+15=(x4−16x2+15)+(2x3−2x)=(x2−15)(x2−1)+2x(x2−1)=(x2+2x−15)(x2−1)=(x−3)(x+5)(x−1)(x+1)and the zeros can be read off as x=3, −5, 1, −1
