If one of the zero of the quadratic polynomial 2x2 - 3x + p is 3, find its other zero. Also find the value of p.

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

Let f(x) = 2x2 - 3x + p

If f(a) = 0, then it is said that a is a zero of f(x).

Given, 3 is a zero of f(x).

f(3) = 0

2(3)2 - 3(3) + p = 0

18 - 9 + p = 0

p = -9

f(x) = 2x2 - 3x - 9

= 2x2 - 6x + 3x - 9

= 2x(x - 3) + 3(x - 3)

= (x - 3)(2x + 3)

Thus, the other zero of f(x) is .

Answered by  | 4th Jun, 2014, 03:23: PM