SOLUTION: Use the given zero to find all the zeros of the function. Write the polynomial as a product of linear factors. (4 pts) h(x) = 2x³ - 19x² + 58x + 34;zero: 5 + 3i

Algebra ->  Trigonometry-basics -> SOLUTION: Use the given zero to find all the zeros of the function. Write the polynomial as a product of linear factors. (4 pts) h(x) = 2x³ - 19x² + 58x + 34;zero: 5 + 3i       Log On


   

Question 959495: Use the given zero to find all the zeros of the function. Write the polynomial as a product of linear factors. (4 pts)

h(x) = 2x³ - 19x² + 58x + 34;zero: 5 + 3i
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Complex zeros occur in conjugate pairs, so you should form the factor, .

Use polynomial division to obtain the last factor.

%282x%5E3-19x%5E2%2B58x%2B34%29%2F%28x%5E2-10x%2B34%29
This quotient, when finished, will the a factor of h(x).