If one zero the quadratic polynamal 2x^-3x+p is 3, find the value of p . also of the other zero
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Answer:
The value of p is -9.
Two roots are 3 and -3/2
Step-by-step explanation:
Let f(x) = 2x²-3x+p
Given, 3 is one of the zeroes of f(x).
• f(3) = 0
=> 2(3)²-3(3)+p = 0
=> 18-9+p = 0
=> p = -9
Now,
• f(x) = 2x²-3x-9
=> 2x²-6x+3x-9
=> 2x(x-3)+3(x-3)
=> (x-3) (2x+3)
(2x+3) = 0
x = -3/2
Thus, other zero of the polynomial is -3/2.
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