Polynomials Foundation CUET CBSE questions

CBSE - Polynomials

 

Polynomials 

If the polynomial  x3 + 2x2 - αx - 12   is divided by   (x - 4)  the remainder is 52. Find the value of 

1) 11 / 2
2) - 5
3) 8
4)  - 8

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 3

Solution :

-.

 

Polynomials 

If the polynomial  x3 + 2x2 - αx - 12   is divided by   (x - 4)  the remainder is 52. Find the value of 

1) 11 / 2
2) - 5
3) 8
4)  - 8

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 3

Solution :

-.

 

Polynomials 

If one of the zeroes of the quadratic polynomial (k-1)x2 + kx + 1 is -3,then the value of k is 
1) -4/3
2) 4/3
3) 2/3
4) -2/3 

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 2

Solution :

-.

 

Polynomials 

If a and b are the zeros of the quadratic polynomial p(s) = 3s2 – 6s + 4, find the value of 
 is

1) 4
2) 8
3) 6
4) 3

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 2

Solution :

-.

 

Polynomials 

If one of the zeroes of the cubic polynomial ax3 + bx2 + cx + d is zero, the product of then other two zeroes is

1) -c/a 
2) c/a 
3) 0 
4) -b/a 

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 2

Solution :

-.

 

Polynomials 

If α  and  β are zeroes of the polynomial f(x)=x2+px+q then find the quadratic polynomial  having 1/α and 1/β as its zeroes

1) 2
2) 1
3) -1
4) 0

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 4

Solution :

-.

 

Polynomials 

Find the remainder  when x4+x3-2x2+x+1 is divided by x-1

1) 1
2) 5 
3) 2 
4) 3 

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 3

Solution :

-.

 

Polynomials 

If α and β are the zeroes of the polynomial f(x) = x2 – 5x + k such that α – β = 1, then value of k is: 

(1) 8 
(2) 6
(3) 13 / 2
(4) 4

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 2

Solution :

-.

 

Polynomials 

If a and b are the zeroes of the polynomial  x2-11x +30, Find the value of a3 + b3

1) 134
2) 412
3) 256
4) 341

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 4

Solution :

-.

 

Polynomials 

On dividing f(x) = x3 – 3x2 + x + 2 by a polynomial g(x), the quotient and remainder were x – 2 and  – 2x + 4, respectively. Find g(x)..

1) x2 – x + 1
2) x2 + x + 1
3) x2 – x – 1
4) x3 – x2 +  x + 1

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 1

Solution :

-.

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