Question 1095664: Form a polynomial f(x) with real coefficients having the given degree and zeros. (InterAct Math # 17)
Degree 3: zeros: 1 + i and -10 Found 2 solutions by greenestamps, ikleyn:Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website! If a polynomial has real coefficients, then complex roots occur in conjugate pairs. So if 1+i is a root, then 1-i is another root. So the three roots are 1+i, 1-i, and 10. Then the polynomial is Answer by ikleyn(52804) (Show Source): You can put this solution on YOUR website! .
The three roots are 1+i, 1-i, and -10. Then the polynomial is