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Byju's Answer
Standard XII
Mathematics
Biquadratic Equations of the form: ax^4+bx^3+cx^2+bx+a=0
A polynomial ...
Question
A polynomial equation with a degree
4
will have
roots.
A
0
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B
4
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C
0
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Solution
The correct option is
B
4
A polynomial equation with degree
n
will have
n
roots.
∴
A polynomial with degree
4
⇒
Will have
4
roots.
Suggest Corrections
0
Similar questions
Q.
Assertion :The number of solutions of the equation
|
x
−
3
|
log
2
x
2
−
3
log
x
4
=
1
x
−
3
is
4
Reason: A polynomial equation of degree
n
with real coefficients cannot have more than
n
real roots.
Q.
Fundamental theorem of algebra states that a polynomial equation of
n
degree have exactly
n
roots, either real or imaginary.
Q.
Form the polynomial equation of the lowest degree with roots as
0
,
0
,
2
,
2
,
−
2
,
−
2
.
Q.
Let p(x) = 0 be a polynomial equation of least possible degree, with rational coefficients, having
3
√
7
+
3
√
49
as one of its roots. Then the product of all the roots of p(x) = 0 is
Q.
Let
p
(
x
)
=
0
be a polynomial equation of least possible degree, with rational coefficients, having
7
1
/
3
+
49
1
/
3
as one of its roots. Then the product of all the roots of
p
(
x
)
=
0
is
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Standard XII Mathematics
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