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Byju's Answer
Standard VII
Mathematics
Degree of an Algebraic Expression
Find what mus...
Question
Find what must be subtracted from the polynomial
4
y
4
+
12
y
3
+
6
y
2
+
50
y
+
26
so that the obtained polynomial is exactly divisible by
y
2
+
4
y
+
2
.
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Solution
Polynomial is
4
y
4
+
12
y
3
+
6
y
2
+
50
y
+
26
Divisor
=
y
2
+
4
y
+
2
Divisor -
So, remainder
=
2
y
−
2
so
2
y
−
2
must be subtracted from the polynomial so that the obtained polynomial is exactly divisible by
y
2
+
4
y
+
2.
Hence, the answer is
2
y
−
2.
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