4
You visited us
4
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Synthetic Division of Polynomials
Divide the fo...
Question
Divide the following polynomial
p
(
x
)
p(x)
by the polynomial S
(
x
)
5(x)
p
(
x
)
=
2
x
3
+
9
x
2
+
13
x
+
6
,
S
(
x
)
=
2
x
2
+
5
x
+
3
.
Open in App
Solution
We divide
2
x
3
+
9
x
2
+
13
x
+
6
by
(
2
x
2
+
5
x
+
3
)
as shown in the above image:
From the division, we observe that the quotient is
x
+
2
and the remainder is
0
.
Hence, the quotient is
x
+
2
and the remainder is
0
.
Suggest Corrections
1
Similar questions
Q.
Divide the following polynomial
p
(
x
)
p(x)
by the polynomial S
(
x
)
5(x)
P
(
x
)
=
2
3
x
2
+
5
x
+
6
,
S
(
x
)
=
x
+
6
.
Q.
What must be added to the polynomial
p
(
x
)
=
2
x
3
+
9
x
2
−
5
x
−
15
, so that the resulting polynomial is exactly divisible by
2
x
+
3
.
Q.
Using division algorithm, divide the polynomial
2
x
3
+
2
x
2
−
5
x
+
1
by
(
x
−
1
)
.
Q.
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder of the following.
p
(
x
)
=
x
4
−
5
x
+
6
,
g
(
x
)
=
2
−
x
2
.
Q.
If
p
(
x
)
=
2
x
3
+
3
x
2
+
4
x
+
3
is divided by a polynomial ______, then the quotient is
2
x
2
+
x
+
3
and the remainder is 0.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Living Things Grow
MATHEMATICS
Watch in App
Explore more
Synthetic Division of Polynomials
Standard IX Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app