Assignment - 3 on Polynomial
1. Find one variable Polynomial
a).
b). 3 x +
3/x
c). 7 √x
+ x√7
d). 2 z^2 + √3
e). 3 a^2
+ 3a +4
2. Find
the coefficient of t and t^2
a).
b). 3 t^2
+ 3t + 4
c). 2 t^3
+ t^2 +t
d). 3 t^3
- t^2 + t
e). (3/2)
t^2 + t
3.
Find the Degree of polynomial
a).
b). 3 t^2 + 3t + 4
c). 2 t^3 + t^2 +t
d). 3t^3 - t^2 + t
e). (3/2) t^2 + t
4. Find the Linear, Quadratic and Cubic of
polynomial
b). 3 t^2 + 3t + 4
c). 2 t^3 + t^2 +t
d). 3 t^3 - t^2 + t
e). (3/2) t^2 + t
5. Find the value of polynomial at 4 x^2 + 5x + 7
a). x = 0
b). x = -1
c). x = 1
d). x = -2
e). x = 2
6. Find P(0), P(1) and P(2) for each of the following polynomial
:-
a). P(x) = ( 3 x – 3 ) ( 3 x + 3 )
b). 2 x^3 + 7
c). 4 x^2 + 7 x + 9
d). 2 y^3 + y^2 +y +7
e). 4 z + 7
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7. Find the zero polynomial
a. P(x) = 4 x + 7 at x = -1/5
b. P(x) = 4 x + 1 at x = -1/5
c. P(x) = 4 x^2 – 3 at x = 1
d. P(x) = (x + 2)(x + 4) at x = -3
e. P(x) = 4 x^2 at x = 2
8. Find the value of x
a. P(x) = 4 x + 7
b. P(x) = 4 x + 1
c. P(x) = 4 x^2 – 3
d. P(x) = (4 x + 3)
e. P(x) = 6 x
9. Find the reminder of P(x) = 3 x^3
– a x^2 + 2 x – 2 a when divided by x – a
10. Find the reminder P(x) = 3 x^3 + 5 x^2 + 5x + 1
a). x + 1
b) x – 1
c). x – 1/3
d). x + ¼
e). x
f). 3x + 6
11. If P(x) = 3 x^3 + 5 x^2 + 5x + 3 Find following are the factor
of polynomial or not ?
a). x + 1
b) x – 1
c). x – 1/3
d). x + ¼
e). x
f). 3x + 6
12. Find the reminder of P(x) = 2 x^3 – a x^2 + 2 x – 2 a when
divided by x – a
13. If P(x) = 3 x^3 + 7 x^2 + 7 x +
1 and g(x) = x + 1
Find g(x)
is a factor of P(x) or not.
14. If P(x) = 5 x^2 + 3 x – 2 and
g(x) = x - 1/3
Find g(x)
is a factor of P(x) or not.
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