SOLUTION: Conjugate Zeros Theorem
Verify that the indicated complex number is a zero of the given polynomial function f.
1 + i; f(x) = 12x^4 − 23x^3 + 21x^2 + 4x − 2
Use
Algebra.Com
Question 960679: Conjugate Zeros Theorem
Verify that the indicated complex number is a zero of the given polynomial function f.
1 + i; f(x) = 12x^4 − 23x^3 + 21x^2 + 4x − 2
Use the conjugate zeros theorem and long division to find all other zeros.
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
A quadratic factor of f(x) is
.
What happens when you divide by ? Remainder should be 0.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Conjugate Zeros Theorem states:
if is zero, then is zero too
so, the product is a factor of
......so,divide by
.......factor
......group
zeros:
=>
=>
=>use quadratic formula
=> and
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