CBSE - Polynomials

1 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

2 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

3 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

4 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

5 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

6 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

7 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 

8 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

9 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

10 Polynomials 

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

1) 1
2) 5 
3) 2 
4) 3