Answer:
-15
Step-by-step explanation:
process of elimination.
9514 1404 393
Answer:
3
Step-by-step explanation:
For f(x) = x^3 -2x^2 -7x +5 and x=1/(2-√3), we have ...
f(x) = ((x -2)x -7)x +5
and ...
x = 1/(2-√3) = (2+√3)/(2^2 -3) = 2+√3
Then ...
f(2+√3) = ((2 +√3 -2)(2 +√3) -7)(2 +√3) +5
= (3+2√3 -7)(2+√3) +5
= 2(√3 -2)(√3 +2) +5 = 2(3 -4) +5 = -2 +5
f(1/(2 -√3)) = 3
_____
If you really mean x = (1/2) -√3, then f(x) = (42√3 -3)/8.
Theirs your answer 661.091628959
Answer:
(x + 2) is a factor of f(x)
Step-by-step explanation:
Using the remainder theorem to divide f(x) by (x - h)
Evaluate f(h) and if equal to 0 then (x - h) is a factor
f(- 3) = (- 3)³ - 7(- 3)² + 36 = - 27 - 63 + 36 ≠ 0
f(- 2) = (- 2)³ - 7(- 2)² + 36 = - 8 - 28 + 36 = 0
f(- 6) = (- 6)³ - 7(- 6)² + 36 = - 216 - 252 + 36 ≠ 0
f(2) = 2³ - 7(2)² + 36 = 8 - 28 + 36 = 16 ≠ 0
Hence (x + 2) is a factor of f(x)
