x^3-8x^2+5x-81 plz solve that question.........
Answers
Answered by
5
Answer:
(x+2)(x−5)2
.
Explanation:
We know that if a number solves such an equation, it must divide its last coefficient, i.e.
50
. So, we can try with some of its divisors: if
f(x)=x3−8x2+5x+50
, then:
f(1)=48≠0
;f(−1)=36≠0
f(2)=36≠0
f(−2)=0 .So, −2
is a solution, which means that
f(x) can be divided by (x+2)
. Do the long division, and you have that
x3−8x2+5x+50
=(x+2)(x2−10x+25)
Now we must factor the second parenthesis, but you can see that it is the square of
(x−5) , and so
f(x)
is completely factored
i think your statement is wrong there should be a 50 on place of 81
sorry
please mark it brainliest
hope it helps you ❤️
have a gud day
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