Question

If one of the zero of the polynomial 2x2-3x+p is 3 then the value of p is

Answer 1

Comparing the given polynomial with ax²+bx+c=0

a=2, b=-3 and c=p

Sum of zeroes =α+β=-b/a=3/2

One of the zero of the polynomial is 3

Therefore, α=3

α+β=3/2

3+β=3/2

$\beta = \frac{3}{2} - 3 = \frac{3 - 6}{2} = \frac{ - 3}{2}$

Product of zeroes =αβ=c/a=3×-3/2=-9/2

c=p

Therefore, p=-9

Answer 2

Answer:

p is equal to minus 9

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