49. One of the factors of the
X^4 - 7x³+ 5x² - 6x + 81 is
(a) x + 2 (b) x - 2 (C) x + 3
(d) x - 3
Answers
Answered by
0
Answer:
c is the crrct one
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Answered by
0
Answer:
x-3 is. a factor
Step-by-step explanation:
let,
f(x) = x⁴ - 7x³+ 5x² - 6x + 81
g(x) = x + 2 => If g(x)=0 then x=-2
f(-2)=16+56+20-12+81=161 !=0
p(x)= x - 2 => If p(x)=0 then x=2
f(-2)=16-56+20-12+81=49 !=0
t(x)= x +3 => If t(x)=0 then x=-3
f(-3)=81+189+45+18+81=414 !=0
r(x)= x -3 => If r(x)=0 then x=3
f(-3)=81-189+45-18+81=207-207=0
=> (x-3) is a factor of x⁴ - 7x³+ 5x² - 6x + 81
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