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 &#8722; 23x^3 + 21x^2 + 4x &#8722; 2 Use

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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

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 &#8722; 23x^3 + 21x^2 + 4x &#8722; 2 Use

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