Monday, September 19, 2011

10th maths Chapter Polynomial extrascore questions

Math Adda  
Chapter: POLYNOMIALS        
LEVEL-I
1. The zeroes of the polynomial 2x2-3x-2 are
a. 1, 2        b. -1/2,1    
c. ½,-2      d. -1/2,2                       [Ans- (d)]

2. If a and b are zeroes of the polynomial 2x2+7x-3, then the value of a2 +b2 is
a. 49/4                b. 37/4       
c. 61/4                d. 61/2                                                      
Ans-( c ) 

3. If the polynomial 6x3+16x2+px -5 is exactly divisible by 3x+ 5 , then the value of p is
a. -7      b. -5     
c.5        d.7                                                                                  
[Ans- (d )]

4. If 2 is a zero of the polynomials 3x2+ax-14 and 2x3+bx2+x-2, then the value of 2 - 2b is
a. -1       b. 5         
c. 9       d. -9                         
[Ans-( c ) ]

5. A quadratic polynomial whose product and sum of zeroes are 1/3 and √2 respectively is

(a) 3x2 – x +3√ 2 (b) 3x2 + x - 3√2 (c) 3x2 + 3√2x +1 (d) 3x2 – 3√2x +1         
[ Ans: (d)]

LEVEL-II

1. If 1 is a zero of the polynomial p(x) = ax2 -3(a-1) x -1, then find the value of a.       
Ans: a=1

2. For what value of k, (-4) is zero of the polynomial x2 – x – (2k+2)?                          
Ans: k=9

3. Write a quadratic polynomial, the sum and product of whose zeroes are 3 and -2. 
Ans: x2 -3x-2

4. Find the zeroes of the quadratic polynomial 2x2-9-3x and verify the relationship between the zeroes and the coefficients.                                   Ans: 3, -3/2

5. Write the polynomial whose zeroes are 2 +√3 and 2 - √3.          Ans: p(x)=x2-4x+1

LEVEL – III

1. Find all the zeroes of the polynomial 2x3+x2-6x-3, if two of its zeroes are -√3 and √3. 
Ans: x=-1/2

2. If the polynomial x+ 2x3 + 8x2+12x+18 is divided by another polynomial x+ 5, the remainder comes out to be  px+q. 
Find the value of p and q.                                                         Ans:p=2,q=3

3. If the polynomial 6x4+8x3+17x2+21x+7 is divided by another polynomial 3x2+4x+1, the remainder  comes out to  be (ax+b), find a and b.                      Ans:a=1, b=2

4. If two zeroes of the polynomial f(x)= x3-4x2-3x+12 are √3 and -√3, then find its third zero. Ans: 4

5. If a, b are zeroes of the polynomial x2-2x-15 then form a quadratic polynomial whose zeroes are  (2a) and (2b).              Ans: x2-4x-60

LEVEL – IV

1. Find other zeroes of the polynomial p(x)=2x4 +7x319x2-14x +30 if two of its zeroes are √2 and -
√2.

Ans: 3/2 and -5

2. Divide 30x4 +11x3-82x2-12x-48 by (3x2 +2x-4) and verify the result by division algorithm.

3. If the polynomial 6x4 +8x3-5x2+ax+b is exactly divisible by the polynomial 2x2-5, then find the 
value of a and b.     
Ans: a = -2 0 , b = - 2 5

4. Obtain all other zeroes of 3x4 -15x3+13x2+25x-30, if two of its zeroes are and ±√5/3. 
Ans: 
±√5/3,3,2

5. If a, b are zeroes of the quadratic polynomial p(x)=kx2+4x+4 such that a2 +b2=24, find the value 
of k.                                                                        
Ans: k=2/3 or k= -1

SELF EVALUATION

1. If a, b are zeroes of the quadratic polynomial ax2+bx+c then find (a) a/b +b/a (b) a2 +b2

2. If a, b are zeroes of the quadratic polynomial ax2+bx+c then find the value of a2 - b2

3. If a, b are zeroes of the quadratic polynomial ax2+bx+c then find the value of a3 +b3

4. What must be added to 6x5+5x4+11x3-3x2+x+5 so that it may be exactly divisible by 3x2 -2x+4 ?

5. If the square of difference of the zeroes of the quadratic polynomial f(x)= x2+px+45 is equal to 144, 
find the value of p.

4 comments:

  1. Bloody hell questions all the questions are wrong. Well not sure about all buy most of em are wrong

    ReplyDelete
  2. Some of the question are totally wrong

    ReplyDelete
  3. Some of the question are totally wrong

    ReplyDelete

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