if 2x3y5z is exactly divisible by 3 find x+y+z
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Answer:
Let us first divide 2x
4
−5x
3
+2x
2
−x+a by x
2
−3x+2 as shown in the above image.
From the division, we observe that 2x
2
+x+1 is the quotient and a−2 is the remainder.
Now, to find the value of a, we equate the remainder to 0 as shown below:
a−2=0
⇒a=2
Hence, a=2.
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