Without graphing, state whether the following statement is true or false. 3 2 The function f(x) = x + 5x - 4x + 2 has four real zeros. Choose the correct answer below. 3 2 3 2 O A. The statement is false because the polynomial function of degree n has at most n real zeros and for f(x) = x³ +5x² - 4x +2, n is 3. OB. The statement is true because the polynomial function of degree n has at most n + 1 real zeros and for f(x)=x³ +5 +5x² - 4x + 2, n is 3. O C. The statement is true because the polynomial function of degree n has at most n real zeros and for f(x) = x + 5x² - 4x + 2, n is 4. 3 2 3 2 O D. The statement is false because the polynomial function of degree n has at most n + 1 real zeros and for f(x) = x + 5x² - 4x + 2, n is 4.
Without graphing, state whether the following statement is true or false. 3 2 The function f(x) = x + 5x - 4x + 2 has four real zeros. Choose the correct answer below. 3 2 3 2 O A. The statement is false because the polynomial function of degree n has at most n real zeros and for f(x) = x³ +5x² - 4x +2, n is 3. OB. The statement is true because the polynomial function of degree n has at most n + 1 real zeros and for f(x)=x³ +5 +5x² - 4x + 2, n is 3. O C. The statement is true because the polynomial function of degree n has at most n real zeros and for f(x) = x + 5x² - 4x + 2, n is 4. 3 2 3 2 O D. The statement is false because the polynomial function of degree n has at most n + 1 real zeros and for f(x) = x + 5x² - 4x + 2, n is 4.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 80E
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Transcribed Image Text:Without graphing, state whether the following statement is true or false.
3
2
The function f(x) = x³ + 5x² - 4x + 2 has four real zeros.
Choose the correct answer below.
O A. The statement is false because the polynomial function of degree n has at most n real zeros and for f(x) = x³ +5x² - 4x + 2, n is 3.
OB. The statement is true because the polynomial function of degree n has at most n + 1 real zeros and for f(x) = x³ +5x² - 4x + 2, n is 3.
OC. The statement is true because the polynomial function of degree n has at most n real zeros and for f(x) = x³ +5x² - 4x + 2, n is 4.
O D. The statement is false because the polynomial function of degree n has at most n + 1 real zeros and for f(x) = x³ +5x² - 4x + 2, n is 4.
3
3
2
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