pre calc
posted by gabs .
A polynomial f(x) with real coefficients and leading coefficient 1 has zeros 6 + 4i, 5 + i and degree 4. Express f(x) as a product of quadratic polynomials with real coefficients that are irreducible over R.
ive done this problem every which way i could. specifically i understand that imaginary numbers come in pairs so i wrote: 6+4i, 64i, 5+i, 5i and i put all thos equal to x, subtracted the x so the equation is equal to zero and then began to multipy them .
can someone please write out the steps for me and then give me the format this answer is supposed to be in..PLEASE HELP!

pre calc 
Damon
(x6+4i)(x64i)(x+5+i)(x+5i) = 0
(x^2 12 x + 52)(x^2 + 25 x + 26)
x^4 +13 x^3 222 x^2 + 988 x +1352
Respond to this Question
Similar Questions

precalculus
information is given about the polynomial f(x) whose coefficients are real numbers. find the real zeros of f: degree 4; zeros: i, 3+i 
precalculus
form a polynomial f(x) with real coefficients having the given degree and zeros. degree: 4; zeros: 1, 2, and 12i. I got an exam tomorrow, i would appreciate any kind of help, thank you. 
Form a polynomial f(x) from coefficient and it's 0
Form a polynomial, f(x), with real coefficients having the given degree and zeros. Degree: 4; zeros: 6i and 7i I completely don't know what to do with this problem... if someone can solve and give a good explanation, I'd appreciate … 
pre calculus
use given info about a polynomial whose coefficients are real numbers to find the remaining zeros. Degree: 6 so I know there's at least 6 zeros:5isqrt7, 13 + 2ni, 5  3i (where n is a real number) any ideas? 
precalculus
form a polynomial f(x) with real coefficients having the given degree and zeros. degree 5; zeros 7; i;9+i enter the polynomial. f(x)=a(? 
preap Algebra 2
write a polynomial function f of least degree that has the rational coefficients, a leading coefficient of 1, and the given zeros. Given zeros: 2,2,1,3, sqrt 11 
calculusplease help!!
I have two questions that I don't understand and need help with. 1. information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zerosof f. degree 4, zeros i;9+i 2. form a polynomial f(x) with … 
ALGEBRA
Find a degree 3 polynomial with real coefficients having zeros 2 and 43i and a lead coefficient of 1. 
precalculus math
A polynomial f(x) with real coefficients and leading coefficient 1 has the given zeros and degree. Express f(x) as a product of linear and/or quadratic polynomials with real coefficients that are irreducible over . 3, −3 − 2i; degree … 
Pre calc
Form a polynomia f(x) with real coefficients having the given degree and zeros Degree: 5 ; Zeros: 2, 3i and 4i