POLYNOMIALS
1. If mans n are the least possible degrees of the polynomial equation into which
1.
3
2 x
= 2x -1 and 2.
2 1 0
3 2
x x
x
x
2. If all the coefficients of a polynomial are zero then the polynomial is called 1 polynomial; 2 number is as
signed to it as its degree.
3. If all the co-efficient of a polynomial except the one independent of the variable
x
vanish, then the
polynomial is called 1 polynomial; its degree is 2
4. If (
x - a) divides f(
x
) twice exactly and q (
x
) is the quotient after first division then.
5. If the remainder when f(
x
) = x3 + ax2+4x-5 is divided by x – 2 is – 1 then a =
6. Let a, b, c are the roots of 2x3
–x-2 =0, The value of a3 + b3 +c3 =
7. Let f(
x
) = ax3
-3x-1=0 where ‘a’ is real. The possible degree of f(
x
) are:
8. If a, b, c are the roots of 2x3
-x-1=0. then the value of (a+b)-1 + (b+c)-1+ (c+a) =
9. The remainder when x3
-2x2
x-2 is divided by (x+1) (x-2) is ______________
10. Let a,b,c are the roots of x3
-x-3. The third degree equation whose roots are ab, bc, ca, is
11. If (x+1) divides g(
x
)=x3
3x2+
x-5 exactly then
=
12. If division by (x-3) of F(x) =P x3+9x2+4x-12 leaves a remainder o then the value of p =
13. If division by (x+2) of f(x) = 2x3+ax2+4x+1 leaves a remainder – 11 then a=
14. If (2x-1)2
is a factor of f(x) = 4x3+20x2+ ax + b = 0 then (a,b) =
15. If (x-3)2
is a factor of g(x) = x3
-5x2+ax+b then (a,b) =
16. The degree of real polynomial f(x) is m and there exist atleast one real root of f(). There m could be:
17. The remainder when x6+Px+q is divided by (x-2) (x-3) is 2x+1. Then (p,q) =
18. The remainder when x19999 is divided by x2
-1 is
19. If x3
-3x-2
(x+a) (x+b) (x+c) then a2
(b+c)+b2
(c+a)+c2
(a+b)=
20. The degree of polynomial f(x) is 3. If g(x) = f(x+1) –f(x) then the degree of g(x) is.
21. The remainder (R) and the quotient (q(x)) when f(x) is divided by d(x)
22.
3 2 2 9
f x
x x
2
d x
x
23.
4 3 2 2 3 20 6
f x
x x x
4
d x
x
Answers
Answered by
2
Answer:
what are you asking
polynomial are three types quradic ,cubic ,linear
Answered by
4
Answer:
x3/2=2x-1
x3/2-2x+1
degree polynomial =3/2+1
=5/2
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