precalculus
posted by ladybug
find the complex zeros of the polynomial function. write F in the factored form. f(X)=x^37x^2+20x24
use the complex zeros to write f in factored form.
f(x)=
(reduce fractions and simplify roots)

Reiny
try factors of 24
f(1) = 1  7 + 20  24 ≠0
f(1) = 1 7  20  24 ≠ 0
f(2) = ≠0
f(2) ≠ 0
f(3) = 27  63 + 60  24 = 0
So (x3) is a factor
Using synthetic division, I got
x^37x^2+20x24 = (x3)(x^2 4x + 8)
Solving the 2nd part:
x^2  4x + .... = 8 + ....
x^2  4x + 4 = 8+4
(x2)^2 = 4
x2 = ± 2i
x = 2 ± 2i
f(x) = (x3)(x^2 4x + 8)
Respond to this Question
Similar Questions

college algebra
find the complex zeros of the polynomial function. write f in factored form. use complex zeros to write f in factored form f(x)= x^36x^2+21x26 
calculus
find the complex zeros of the polynomial function. write f in factored form. f(x)=x^310x^2+42x72 please show work. 
calculus
Find the complex zeros of the polynomial function. Write f in factored form. f(x)=3x^410x^312x^2+122x39 Please show wrok, I do not understand how to do this. 
calculusplease help!!
find the complete zeros of the polynomial function. Write f in factored form. f(x)=3x^410x^312x^2+122x39 **Use the complex zeros to write f in factored form.** f(x)= Please show work 
Find the complex zeros
Find the complex zeros of the polynomial function. Write f in the factored form. f(x)=x^33x^2+7x5 f(x)= 
algebra
Find the complex zeros of the polynomial function. Write f in factored form. F(x)=x^38x^2+29x52 Use the complex zeros to write f in factored form F(x)=____(reduce fractions and simplify roots) 
math
Find the complex zeros of the polynomial function, and write f in factored form: f(x)= x^3  8x^2 + 30x  36 
Algebra
find the complex zeros of the polynomial. Write f in factored form: F(x)= 2x^25x^320x^2+115x52=0 
Algebra
Find the complex zeros of the following polynomial function. Write f in the factored form. F(x)=2x^45x^320x^2+115x52 
Algebra
Find the complex zeros of the following polynomial function. Write f in the factored form. F(x)=2x^45x^320x^2+115x52