The Fundamental Theorem of Algebra Answers

Use the fundamental theorem of algebra to determine the number of roots for each polynomial function shown.f (x) = 2x3 + x2 - 7x + 1 has ⇒ 3 roots.

For the double root 3, the graph the x–axis at the intercepts.

crossesdoes not intersect✔ touches

-2 + i and -2 - i ✔ 2 + i and 2 - i 4 + 2i and 4 - 2i 2 + 4i and 2 - 4i

Complete the steps to find all zeroes of the function f(x) = x4 − 4x3 − 4x2 + 36x − 45. This function has roots. The possible rational roots are ±1, ±3, ±5, ±9, ±15, and ±45. The actual roots ordered from least to greatest are and .

The function has real roots and imaginary roots.