If 0 and 1 are the zeroes of the polyno ...

If 0 and 1 are the zeroes of the polyno mial f(x) =` 2x^3 -3x^2 + ax + b`. Find the values of a and b.

Verified by Experts

The correct Answer is:

`a=1,b=0`

Similar Questions

Explore conceptually related problems

If 0 and 1 are the zeroes of the polynomial f (x) = 2x ^(3) - 3x ^(2) + ax +b, then find the values of a and b.

-3, 0 and 2 are the zeroes of the polynomial p(x) = x^3 + (a - 1)x^2 + bx + c , find a and c.

If the zeroes of the polynomial x^(3) - 3x^(2) + x + 1 are a-b, a,a+b, find a and b.

It the zeroes of the polynomial x^(3)-3x^(2)+x+1 are a-b,a,a+b find a and b.

If a and b are the non-zero roots of the equation x^(2) + ax + b = 0 , then the least value of the expression x^(2) + ax + b is

Write each of the following in the form of ax + by + c = 0 and find the values of a, b and c. 2x = 3

If 1,2,3 and 4 are the roots of the eqaution x^(4) + ax^(3) + b x^(2) + cx + d = 0, then a + 2b + c =

If 1,2,3 and 4 are the roots of x^4+ax^3+bx^2+cx+d=0 , then find the values of a,b,c and d.

Show that f(x) = x^(3) + 3ax^(2) + 3a^(2) + b is increasing on R for all values of a and b.