1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard X
Mathematics
Factor of a Polynomial
Find: a3 - ...
Question
Find:
(
a
3
−
2
a
2
+
5
)
×
(
4
a
−
1
)
=
A
4
a
4
−
9
a
3
+
2
a
2
−
2
a
−
5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4
a
4
+
9
a
3
+
2
a
2
+
20
a
−
5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
4
a
4
−
9
a
3
+
2
a
2
+
20
a
−
5
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
4
a
4
−
9
a
3
+
20
a
2
+
2
a
−
5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
B
4
a
4
−
9
a
3
+
2
a
2
+
20
a
−
5
We multiply the given polynomial
a
3
−
2
a
2
+
5
and monomial
4
a
−
1
as follows:
(
4
a
−
1
)
×
(
a
3
−
2
a
2
+
5
)
=
4
a
(
a
3
−
2
a
2
+
5
)
−
1
(
a
3
−
2
a
2
+
5
)
=
4
a
4
−
8
a
3
+
20
a
−
a
3
+
2
a
2
−
5
=
4
a
4
−
9
a
3
+
2
a
2
+
20
a
−
5
Hence,
(
a
3
−
2
a
2
+
5
)
×
(
4
a
−
1
)
=
4
a
4
−
9
a
3
+
2
a
2
+
20
a
−
5
Suggest Corrections
0
Similar questions
Q.
State whether True or False.
Divide:
4
a
4
+
11
a
2
b
2
+
9
b
4
by
2
a
2
−
a
b
+
3
b
2
, then the answer is
2
a
2
+
a
b
+
3
b
2
.
Q.
Use the identity
(
x
+
a
)
(
x
+
b
)
=
x
2
+
(
a
+
b
)
x
+
a
b
to find the following products:
(
2
a
2
+
9
)
(
2
a
2
+
5
)
Q.
Simplify
(
a
3
−
2
a
2
+
4
a
−
5
)
−
(
−
a
3
−
8
a
+
2
a
2
+
5
)
Q.
If
A
=
⎡
⎢
⎣
1
0
0
0
1
0
2015
2016
−
1
⎤
⎥
⎦
,
then
(
2
A
2
+
4
A
4
+
6
A
6
)
is equal to
(
Here,
I
3
is unit matrix of order
3
)
Q.
If 2a + 3b = 8 then express
3
b
2
–
2
b
+
3
in terms of a.
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
MATHEMATICS
Watch in App
Explore more
Factor of a Polynomial
Standard X 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