Polynomials Foundation CUET CBSE questions

CBSE - Polynomials

 

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 

The zeroes of the quadratic polynomial x2 + 99x + 127 are

1) both positive
2) both negative
3) both equal
4) one positive and one negative

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 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  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 

If f(x) = ax2 + bx + c has no real zeros and a + b + c < 0, then

1) c = 0
2) c > 0
3) c < 0
4) None of these

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

Option: 4

Solution :

-.

 

Polynomials 

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

(a) c – 1
(b) 1 – c
(c) c
(d) 1 + c

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

Option: 2

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 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 :

-.

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