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 a and b are the roots (zeros) of the polynomial f(x) = x2 – 3x + k such that α – β= 1, find the value of k.

1) 1
2) 4
3) 2
4) 5

 

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

Option: 3

Solution :

-.

 

Polynomials 

If one of the zeroes of the cubic polynomial x3 + ax2 + bx + c is -1, then the product of other two zeroes is

1) b – a + 1
2) b – a – 1
3) a – b + 1
4) a – b – 1

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

Option: 1

Solution :

-.

 

Polynomials 

If α, β are the zeros of the polynomial f(x) = x2 + x + 1, then =

1) 1
2) -1
3) 0
4) None of these

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

Option: 2

Solution :

-.

 

Polynomials 

If zeroes of the quadratic polynomial x2+(a+1)x+b are 2 and -3 then find the value of a and b

1) 0, 6
2) 1, -6
3) 0, -6
4) -6, 0

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

Option: 3

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 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 

Given that two of the zeroes of the cubic polynomial ax3 + bx2 + cx + d are 0, the third zero is
1) -b /a
2) b /a
3) c /a
4) -d /a

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

Option: 1

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 :

-.

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