You and your friends get to go to an amusement park. You have $75 for the day. The entrance fee is $49.95 and lunch is $11. You
1 answer:
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Answer:
none
Step-by-step explanation:
If (x + h) is a factor of f(x) then f(- h) = 0
Given
f(x) = + x³ - x² + x - 1
If (x + 1) is a factor then f(- 1) = 0
f(- 1) = + (- 1)³ - (- 1)² + (- 1) - 1 = 1 - 1 - 1 - 1 - 1 = - 3 ≠ 0
Thus (x + 1) is not a factor
If (x - 1) is a factor then f(1) = 0
f(1) = + 1³ - 1² + 1 - 1 = 1 + 1 - 1 + 1 - 1 = 1 ≠ 0
Thus (x - 1) is not a factor
Answer:
2
Step-by-step explanation:
You know 0, 1, and -1 are not roots, because the constant is not 0 and the coefficients don't add to 0, even when negating the ones of odd-degree terms.
When evaluating polynomials by hand, it often works well to write them in "Horner form."
P(x) = ((-2x +1)x +4)x +4
P(2) = ((-2·2 +1)2 +4)2 +4 = (-3·2 +4)2 +4 = -2·2 +4
P(2) = 0
2 is a root of P(x).
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I like a graphing calculator for questions like this. It can give an answer instantly. (The equation was pasted directly from the question into the calculator, so the solution took 2 clicks and 2 keystrokes.)
