Question

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 ​

Answer 1

Answer:

what are you asking

polynomial are three types quradic ,cubic ,linear

Answer 2

Answer:

x3/2=2x-1

x3/2-2x+1

degree polynomial =3/2+1

=5/2