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Byju's Answer
Standard IX
Mathematics
Polynomials
Find the cons...
Question
Find the constant after subtracting from
x
4
+
4
x
2
−
3
x
+
7
to get
3
x
3
−
x
2
+
2
x
+
1
?
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Solution
We find the subtraction of the given polynomials
(
x
4
+
4
x
2
−
3
x
+
7
)
−
(
3
x
3
−
x
2
+
2
x
+
1
)
by combining the like terms as shown below:
(
x
4
+
4
x
2
−
3
x
+
7
)
−
(
3
x
3
−
x
2
+
2
x
+
1
)
=
x
4
−
3
x
3
+
(
4
x
2
+
x
2
)
+
(
−
3
x
−
2
x
)
+
(
7
−
1
)
=
x
4
−
3
x
3
+
x
2
(
4
+
1
)
+
x
(
−
3
−
2
)
+
6
=
x
4
−
3
x
3
+
5
x
2
−
5
x
+
6
We know that the constant term of a polynomial is the term of degree
0
; it is the term in which the variable does not appear.
In the resulting polynomial
x
4
−
3
x
3
+
5
x
2
−
5
x
+
6
, the constant term is
6
because there is no variable.
Hence,
the constant term is
6
.
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0
Similar questions
Q.
What must be subtracted from
x
4
+
4
x
2
−
3
x
+
7
to get
3
x
3
−
x
2
+
2
x
+
1
?
Answer:
x
4
−
3
x
3
+
5
x
2
−
5
x
+
6
Q.
What must be subtracted from
x
4
+
2
x
2
−
3
x
+
7
to get
x
3
+
x
2
+
x
−
1
?
Q.
Which of the following expressions are not polynomials?
(i)
3
x
3
−
2
x
+
1
(ii)
x
2
+
x
√
x
−
2
(iii)
x
4
+
2
x
(iv)
4
x
2
+
3
x
−
5
(v)
√
2
x
+
√
3
Q.
Solve the reciprocal equation
x
4
−
3
x
3
+
4
x
2
−
3
x
+
1
=
0
Q.
The roots equation
x
4
−
3
x
3
+
4
x
2
−
3
x
+
1
=
0
is
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