Problem 1 :
If 1 is a zero of the polynomial
p(x) = ax2 - 3(a - 1)x - 1
then find the value of 'a' and find other zero.?
Problem 2 :
What number should be added to the polynomial
x2 - 5x + 4
so that 3 is the zero of the polynomial?
Problem 3 :
If one of the zeros of the cubic polynomial
x3 + ax2 + bx + c is -1
then what will be the product of the other two zeros?
Problem 4 :
Obtain all other zeros of the polynomial
2x4 - 9x3+ 5x2 + 3x - 1
if two of its zeros are 2 - √3 and 2 + √3?
Problem 5 :
Find the zeros of the polynomial
f(x) = x3 - 5x2 -2x +24
if it is given that the product of its two zeros is 12?
Problem 6 :
If the zeros of the polynomial f(x) = x3 – 3x2 - 6x + 8 are of the form a-b, a, a+b, then find all the zeros.
Problem 7 :
If α, β are the two zeros of the polynomial
f(y) = y2 - 8y + a and α2 + β2 = 40
find the value of ‘a’?
1) another zero is -1
2) 2 is the value to be added.
3) a - b + c = 1
4) remaining zeroes are -1/2 and 1.
5) zeroes are 3 and 4
6) zeroes are -2, 1 and 4.
7) a = 12
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM