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Byju's Answer
Standard X
Mathematics
Division Algorithm for a Polynomial
If 6 x4+8 x3-...
Question
If 6x
4
+8x
3
-5x
2
+ax+b is completely divisible by polynomial 2x
2
-5 then find the value of a and b
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Solution
25 + b =0
b = -25
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25
Similar questions
Q.
Check whether the polynomial
6
x
4
+
8
x
3
−
5
x
2
−
6
x
−
3
is exactly divisible by the polynomial
x
−
1
.
Q.
If the polynomial
6
x
4
+
8
x
3
+
17
x
2
+
21
x
+
7
is divided by another polynomial
3
x
2
+
4
x
+
1
, the remainder comes out to be
a
x
+
b
, find a and b.
[4 MARKS]
Q.
When the polynomial
(
6
x
4
+
8
x
3
+
17
x
2
+
21
x
+
7
)
is divided by
(
3
x
2
+
4
x
+
1
)
the remainder is (ax - b) Therefore
Q.
If
(
a
−
2
)
x
2
+
(
b
−
a
)
x
+
(
c
+
b
)
is a zero polynomial, then find the values of
a
and
b
Q.
Find the value of a & b, if
8
x
4
+
14
x
3
−
2
x
2
+
a
x
+
b
is divisible by
4
x
2
+
3
x
−
2
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