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
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
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