algebra
Use the given zero to find the remaining zeros of the function.
(hx)= 3x^4+5x^3+25x^2+45x18; zero:3i
labe
asked by
mary

complex roots always come in conjugate pairs, so we have
x = 3i and x = 3i
two factors are (x + 3i) and (x 3i)
(x+3i)(x3i)
= x^2  9i^2 = x^2 + 9
Using long algebraic division, you should get
( 3x^4+5x^3+25x^2+45x18) รท (x^2+9)
= 3x^2 + 5x + 2
the quadratic formula can be used to find the other two roots.
btw, it factorsposted by Reiny
Respond to this Question
Similar Questions

college algebra
use the given zero to find the remaining zeros of each function.g(x)=x^3+3x^2+25x+75;zero:5i 
calculus
use the given zeros to find the remaining zeros of the function h(x)=x^49x^3+12x^2+138x1360 zero:35i enter the remaining zeros of f please show work 
Algebra
Use the given zero to find the remaining zeros of the function. f(x)=x^32x^2+9x18;zero;3i Enter the remaining zeros of f = 
algebra college
find the remaining zeros of f. degree 4 zeros i, 18+i enter the remaining zeros of f please help me out! 
college algebra
Find the real and complex zeros of the following function. f(x)=x^33x^2+25x+29 
college algebra
Find the real and complex zeros of the following function. f(x)=x^33x^2+25x+29 
Precalc
Use the given zero to find the remaining zeros of the function: h(x)=x^415x^3+55x^2+155x1476 Zero:54i I multiplied [x(54i)][x(5+4i)] and got x^210x+9. The example I have says to divide that by h and get a second quadratic 
rational zeros theorem
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=25x^4+26x^3+126x^2+130x+5 Find the real zeros x= Use the real zeros to factor f f(x)= 
use the given zero
Use the given zero to find the remaining zeros of the function. f(x)=x^32x^2+9x18;zero;3i Enter the remaining zeros of f = 
college algebra
find the complete zeros of the polynomial function. write f in factored form. f(x)=x^37x^2+25x39 please show all work. I do not understand this.