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Byju's Answer
Standard VIII
Mathematics
Division of a Polynomial by a Monomial
Divide 15 x...
Question
Divide
15
x
3
−
20
x
2
+
13
x
−
12
by
3
x
−
6
and verify that Dividend
=
Divisor
×
Quotient + Remainder.
Open in App
Solution
3
x
−
6
)
15
x
3
−
20
x
2
+
13
x
−
12
(
5
x
2
+
10
3
x
+
11
15
x
3
−
30
x
2
_________________ Dividend
=
15
x
3
−
20
x
2
+
13
x
−
12
10
x
2
+
13
x
−
12
10
x
2
−
20
x
_______________ Quotient
×
Divisors
=
(
3
x
−
6
)
(
5
x
2
+
10
3
x
+
11
)
33
x
−
12
33
x
−
66
=
15
x
3
+
10
x
2
+
33
x
−
30
x
2
−
20
x
−
66
____________
=
15
x
3
−
20
x
2
+
13
x
−
66
54
Remainder
=
54
____________
Quotient
×
Divisor
+
remainder
=
15
x
3
−
20
x
2
+
13
x
−
66
+
54
=
15
x
3
−
20
x
2
+
13
x
−
12
which is dividend.
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2
Similar questions
Q.
Identify the dividend, divisor, quotient and remainder respectively, when 332 is divided by 18. Verify the division using the verification formula.
Q.
If dividend =
x
3
+
13
x
2
+
32
x
+
20
, divisor =
x
2
+
11
x
+
10
remainder = 0. Find the quotient q(x)
Q.
When you divide 25 by 2, what will be the remainder, divisor, dividend and the total quotient?
Q.
Dividend = Quotient
×
Divisor + Remainder
Q.
Dividend = Divisor x Quotient - Remainder
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