According to the fundamental theorem of algebra, how many zeros does the function f(x) = 4x3 − x2 − 2x + 1 have?
2 answers:
Answer:
3 zeros
Step-by-step explanation:
- The fundamental theorem of algebra states that any polynomial with degree m>0 and complex coefficients has at least one complex root.
- Corollary of fundamental theorem states that for any polynomial with degree m>0 has exactly m solutions.
The given function is 4x^3-x^2-2x+1
Because it is a polynomial function with degree 3>0 , Therefore by corollary of fundamental theorem of algebra , it has 3 zeroes.
Answer:
Step-by-step explanation:
4x3 − x2 − 2x + 1
I show one zero. X= - 0.78769256
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NB. Some teachers don't want 2 equals on one line, if it's your case please don't write the 2 equals on the same line