## jaydemarie4 2 years ago Find all the zeros of each equation. x5 – 3x4 – 15x3 – 45x2 – 16x + 48 = 0 A. 3, 4, i B. 4, –4, i,–i C. 3, 4, –4, i, –i D. 3, –4, –i

1. jaydemarie4

can anyone help??

2. tcarroll010

Do you know how to work with synthetic division?

without thinking C has to be the one because it has 5roots and plynomial has high degree 5

4. tcarroll010

Some roots can be repeated.

5. tcarroll010

I'm questioning that original equation. Please double-check that you input it correctly.

6. jaydemarie4

Thanks! I have one more problem i need help with!

7. jaydemarie4

2. 7x2 – 144 = –x4 A. 3, –3, 4i, 0 B. 3, 4i C. 3, –3, 4i, –4i D. –3, –4i

8. jaydemarie4

oh and no i don't understand synthetic division :/

9. tcarroll010

I don't know how to teach you synthetic division in this forum. Way too much writing. I know the answer, but we're not allowed just to give a raw end-result answer. So, I'll give you 2 of the zeros which are 3 and -3. That leaves you with the factor x^2 + 16 = 0. You should be able to find the last 2 zeros from that. You can use the quadratic formula.

10. jaydemarie4

how do i use the quadratic formula to solve that though?

11. jaydemarie4

thank you so much for helping though!!

12. tcarroll010

You are welcome!