SOLUTION: x−2) is a factor of 2x³+ax²+bx−2,and when this expression is divided by (x−3)the remainder is-50.
Find a and b and the remaining factors
a)x³-5x²-x+5,(b) x³-9x²+27x+1
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Question 1176598: x−2) is a factor of 2x³+ax²+bx−2,and when this expression is divided by (x−3)the remainder is-50.
Find a and b and the remaining factors
a)x³-5x²-x+5,(b) x³-9x²+27x+18,(c) 2x³+x²-18x+5.State the roots of the equation 2x³+ax²+bx-2=0
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!
Call the expression .
(x-2) being a factor of p(x) means that the remainder when p(x) is divided by (x-2) the remainder is 0; that means
[1]
Similarly, if p(x) divided by (x-3) leaves remainder -50, that means
[2]
Solve equations [1] and [2] to find a=-27 and b=47.
The expression is 2x^3-27x^2+47x-2.
We know one of the roots is 2; synthetic division leads us to
The quadratic factor has irrational roots; you can find them exactly using the quadratic formula; or you can find them approximately using a graphing calculator or similar tool.
I'm guessing the a), b), and c) in your post are supposed to be the answer choices; but none of them is correct....
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