a) Find the rational zeros and then the other zeros of the polynomial function f(x) = x'+7x-2x- 14, that is, solve (x) = 0. (b) Factor f(x) into linear factors. %3D ..... (a) Note that the degree of f(x) is 3. So, there are at most 3 distinct zeros. To find the rational zeros of the given function, use the rational zeros theorem. If a rational number where p and q are relatively prime, is a zero of P(x)= a,x" b. 1x-1 an +a,X+a0. where all coefficients are integers, thenp and q should be a factor of which of the following? O A. p should be a factor of a, and q should be a factor of a, O B. p and q both should be a factor of a, O C. pand q both should be a factor of an D. p should be a factor of a, and q should be a factor of an-

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 81E
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4 HW
Help Me Solve This | 16 parts remaining
ne other
(a) Find the rational zeros and then the other zeros of the polynomial function f(x) = x° + 7x-
f(x) = 0.
- 2x - 14, that is, solve
nd fill in
as needi (b) Factor f(x) into linear factors.
(a) Note that the degree of f(x) is 3. So, there are at most 3 distinct zeros. To find the rational zeros of the given
function, use the rational zeros theorem.
and the
fo,
If a rational number
where p and q are relatively prime, is a zero of P(x) = a,x" + an-
1
+ .... + a,X+ ao-
The othe
where all coefficients are integers, then p and q should be a factor of which of the following?
O A. p should be a factor of a, and q should be a factor of a,
B. p and g both should be a factor of a,.
C. p and g both should be a factor of an.
O D. p should be a factor of a, andq should be a factor of a,
Print
Clear All
Check Answer
lew an E
Skil
Transcribed Image Text:4 HW Help Me Solve This | 16 parts remaining ne other (a) Find the rational zeros and then the other zeros of the polynomial function f(x) = x° + 7x- f(x) = 0. - 2x - 14, that is, solve nd fill in as needi (b) Factor f(x) into linear factors. (a) Note that the degree of f(x) is 3. So, there are at most 3 distinct zeros. To find the rational zeros of the given function, use the rational zeros theorem. and the fo, If a rational number where p and q are relatively prime, is a zero of P(x) = a,x" + an- 1 + .... + a,X+ ao- The othe where all coefficients are integers, then p and q should be a factor of which of the following? O A. p should be a factor of a, and q should be a factor of a, B. p and g both should be a factor of a,. C. p and g both should be a factor of an. O D. p should be a factor of a, andq should be a factor of a, Print Clear All Check Answer lew an E Skil
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