calculus
posted by ladybug .
find all zeros of the following polynomial. write the polynomial in factored form.
f(x)=x^33x^2+16x48

Try + and  the prime factors of 48:
1, 2, 3, 4, 6, 8, 12 and 16.
When you find one that works, call it 'a' and divide the f(x) polymonial by (xa) to get the quadratic factor. The other two roots can easily be found with that.
It looks to me like one root is +3. Therefore x3 is a factor.
Now evaluate [x^33x^2+16x48]/(x3)
It should give you a quadratic equation with no remainder. Factor that.
Respond to this Question
Similar Questions

College Algebra
Find all zeros of the following polynomial. Write th polynomial in factored form. f(x) = x^4  256 
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 
precalculus
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) 
calculus
find the complex zeros of the polynomial function. write f in factored form. f(x)=x^310x^2+42x72 please show work. 
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 
PreCal.
find all the zeros of the following polynomial. Write the polynomial in fraction form. Show all the work. f(x)= x^4+3x^240 
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 … 
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 
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) 
PreCalculus
Find all rational zeros of the polynomial, and write the polynomial in factored form?