PreCal.
posted by phyllys .
find all the zeros of the following polynomial. Write the polynomial in fraction form. Show all the work.
f(x)= x^4+3x^240

Let x^2 = y
y^2 +3y 40 = 0
(y+8)(y5) = 0
y = 8 or 5
x = sqrty = +/ isqrt8 or +/ sqrt5
f(x) = (x  sqrt5)(x + sqrt5)(x^2 +8)
Respond to this Question
Similar Questions

Math
Consider the polynomial f(x) = 2x^3 – 3x^2 – 8x – 3. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining … 
Algebra
Consider the polynomial: f(x) = 2x^3 – 3x^2 – 8x – 3. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, … 
algebra
Consider the polynomial f(x) = 3x3 – 2x2 – 7x – 2. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining … 
algebra
Consider the polynomial f(x) = 3x3 – 2x2 – 7x – 2. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining … 
Algebra
Consider the polynomial f(x) = 3x3 – 2x2 – 7x – 2. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining … 
College Algebra
Find all zeros of the following polynomial. Write th polynomial in factored form. f(x) = x^4  256 
calculus
find all zeros of the following polynomial. write the polynomial in factored form. f(x)=x^33x^2+16x48 
calculus
can someone please help me find all the zeros of the following polynomial. write the polynomial in factored form. f(x)=x^33x^2+16x48 can you please show all work 
calculuscan someone please help me with this ques
Find all zeros of the following polynomial. Write the polynomial in factored form. f(x)=x^33x^2+16x48 I put: x^2(x3)+16(x=3) (x3)(x^2+16) For zeros: x3=0 x=0 **My teacher stated check the equation solution again. What is the value … 
PreCalculus
Find all rational zeros of the polynomial, and write the polynomial in factored form?