What should be subtracted from 17x cube 8x square +11 to obtain 14x cube +8x square - 5x + 6?
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divide 4x
4
−2x
3
−6x
2
+x−5 by 2x
2
+x−1 as shown in the below image:
From the division, we observe that the quotient is 2x
2
−2x−1 and the remainder is −6.
Hence, −6 should be subtracted from 4x
4
−2x
3
−6x
2
+x−5 so that result is exactly divisible by 2x
2
+x−1.
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SIMILAR QUESTIONS
star-struck
What must be added to f(x)=4x
4
+2x
3
−2x
2
+x−1 so that the resulting polynomial is divisible by g(x)=x
2
+2x−3?
Medium
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>
What should be added to (x
4
−1) so that it is exactly divisible by (x
2
+2x+1)?
Har
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