SOLUTION: Find the remaining complex zeros of f(x) if -3 is a zero. f(x)=x^5 + x^4 - x^3 + 7x^2

SOLUTION: Find the remaining complex zeros of f(x) if -3 is a zero. f(x)=x^5 + x^4 - x^3 + 7x^2 - 20x + 12

Question 863068: Find the remaining complex zeros of f(x) if -3 is a zero.
f(x)=x^5 + x^4 - x^3 + 7x^2 - 20x + 12
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Not all of the remaining zeros are complex. Do synthetic division on the original 5th degree equation polynomial using -3 as a divisor. The result is:

The possible real roots of the quartic are

.

Use synthetic division to find two more real roots. Hint: The two real roots are equal.

You will be left with a quadratic that you can solve using the quadratic formula for the conjugate pair of complex roots.

John

My calculator said it, I believe it, that settles it

The Out Campaign: Scarlet Letter of Atheism

RELATED QUESTIONS
Let f(x)=x^4+2x^3-7x^2-20x-12 If -2 is a zero, factor f(x) completely - please show... (answered by josgarithmetic,ikleyn)

Find the remaining zeros of f(x) given that c is a zero. Then rewrite f(x)... (answered by MathLover1)

Please help me find the remaining zeros of f(x)= 2x^3+x^2-5x+2 given that x=-2 is a zero... (answered by josgarithmetic)

Use the fact that 3i is a zero of f to find the remaining zeros: f(x)= x^4-6x^3+14x^2... (answered by josgarithmetic)

Using the given zero, find all other zeros of f(x). 2-6i is a zero of... (answered by josgarithmetic)

Can someone help me with this? Thank you. I need to find all the zeros of the function... (answered by ikleyn)

Find the remaining zeros of of f(x) given that c is a zero. Then re-write f(x) in a... (answered by lwsshak3)

find the complex zeros of the following polynomial. Write f in factored form.... (answered by lwsshak3)

given the polynomial p(x) = x^4-2x^3-7x^2+18-18 If one zero of P is 1-i, find the... (answered by Seutip)